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Finding the Fourth Proportional to 3,902.16, 5,841.96 and 3,037.20

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Solution

The fourth proportional to 3,902.16, 5,841.96 and 3,037.20 is: 4,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.16 : 5,841.96 = 3,037.20 : x
  2. Step 2: Convert to fraction form
    3,902.16/5,841.96 = 3,037.20/x
  3. Step 3: Cross multiply
    3,902.16x = 5,841.96 × 3,037.20
  4. Step 4: Simplify right side
    3,902.16x = 17,743,200.91
  5. Step 5: Solve for x
    x = 17,743,200.91/3,902.16
  6. Step 6: Final answer
    x = 4,547.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.