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Finding the Fourth Proportional to 5,446.37, 7,520.22 and 4,185.42

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Solution

The fourth proportional to 5,446.37, 7,520.22 and 4,185.42 is: 5,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.37 : 7,520.22 = 4,185.42 : x
  2. Step 2: Convert to fraction form
    5,446.37/7,520.22 = 4,185.42/x
  3. Step 3: Cross multiply
    5,446.37x = 7,520.22 × 4,185.42
  4. Step 4: Simplify right side
    5,446.37x = 31,475,279.19
  5. Step 5: Solve for x
    x = 31,475,279.19/5,446.37
  6. Step 6: Final answer
    x = 5,779.14

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.