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Finding the Fourth Proportional to 3,701.58, 5,542.92 and 2,467.14

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Solution

The fourth proportional to 3,701.58, 5,542.92 and 2,467.14 is: 3,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.58 : 5,542.92 = 2,467.14 : x
  2. Step 2: Convert to fraction form
    3,701.58/5,542.92 = 2,467.14/x
  3. Step 3: Cross multiply
    3,701.58x = 5,542.92 × 2,467.14
  4. Step 4: Simplify right side
    3,701.58x = 13,675,159.65
  5. Step 5: Solve for x
    x = 13,675,159.65/3,701.58
  6. Step 6: Final answer
    x = 3,694.41

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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.