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Finding the Fourth Proportional to 5,446.92, 7,520.98 and 4,185.98

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Solution

The fourth proportional to 5,446.92, 7,520.98 and 4,185.98 is: 5,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.92 : 7,520.98 = 4,185.98 : x
  2. Step 2: Convert to fraction form
    5,446.92/7,520.98 = 4,185.98/x
  3. Step 3: Cross multiply
    5,446.92x = 7,520.98 × 4,185.98
  4. Step 4: Simplify right side
    5,446.92x = 31,482,671.86
  5. Step 5: Solve for x
    x = 31,482,671.86/5,446.92
  6. Step 6: Final answer
    x = 5,779.90

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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.