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Finding the Fourth Proportional to 3,574.29, 5,352.15 and 2,467.13

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Solution

The fourth proportional to 3,574.29, 5,352.15 and 2,467.13 is: 3,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.29 : 5,352.15 = 2,467.13 : x
  2. Step 2: Convert to fraction form
    3,574.29/5,352.15 = 2,467.13/x
  3. Step 3: Cross multiply
    3,574.29x = 5,352.15 × 2,467.13
  4. Step 4: Simplify right side
    3,574.29x = 13,204,423.07
  5. Step 5: Solve for x
    x = 13,204,423.07/3,574.29
  6. Step 6: Final answer
    x = 3,694.28

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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.