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Finding the Fourth Proportional to 3,397.80, 5,095.16 and 1,057.12

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Solution

The fourth proportional to 3,397.80, 5,095.16 and 1,057.12 is: 1,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 5,095.16 = 1,057.12 : x
  2. Step 2: Convert to fraction form
    3,397.80/5,095.16 = 1,057.12/x
  3. Step 3: Cross multiply
    3,397.80x = 5,095.16 × 1,057.12
  4. Step 4: Simplify right side
    3,397.80x = 5,386,195.54
  5. Step 5: Solve for x
    x = 5,386,195.54/3,397.80
  6. Step 6: Final answer
    x = 1,585.20

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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.