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Finding the Fourth Proportional to 5,494.38, 7,579.62 and 3,605.19

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Solution

The fourth proportional to 5,494.38, 7,579.62 and 3,605.19 is: 4,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.38 : 7,579.62 = 3,605.19 : x
  2. Step 2: Convert to fraction form
    5,494.38/7,579.62 = 3,605.19/x
  3. Step 3: Cross multiply
    5,494.38x = 7,579.62 × 3,605.19
  4. Step 4: Simplify right side
    5,494.38x = 27,325,970.23
  5. Step 5: Solve for x
    x = 27,325,970.23/5,494.38
  6. Step 6: Final answer
    x = 4,973.44

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Half 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.