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Finding the Fourth Proportional to 5,385.92, 7,446.20 and 4,729.60

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Solution

The fourth proportional to 5,385.92, 7,446.20 and 4,729.60 is: 6,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.92 : 7,446.20 = 4,729.60 : x
  2. Step 2: Convert to fraction form
    5,385.92/7,446.20 = 4,729.60/x
  3. Step 3: Cross multiply
    5,385.92x = 7,446.20 × 4,729.60
  4. Step 4: Simplify right side
    5,385.92x = 35,217,547.52
  5. Step 5: Solve for x
    x = 35,217,547.52/5,385.92
  6. Step 6: Final answer
    x = 6,538.82

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