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Finding the Fourth Proportional to 3,511.43, 5,267.14 and 1,046.18

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Solution

The fourth proportional to 3,511.43, 5,267.14 and 1,046.18 is: 1,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.43 : 5,267.14 = 1,046.18 : x
  2. Step 2: Convert to fraction form
    3,511.43/5,267.14 = 1,046.18/x
  3. Step 3: Cross multiply
    3,511.43x = 5,267.14 × 1,046.18
  4. Step 4: Simplify right side
    3,511.43x = 5,510,389.69
  5. Step 5: Solve for x
    x = 5,510,389.69/3,511.43
  6. Step 6: Final answer
    x = 1,569.27

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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.