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Finding the Fourth Proportional to 3,762.72, 5,645.16 and 2,462.58

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Solution

The fourth proportional to 3,762.72, 5,645.16 and 2,462.58 is: 3,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.72 : 5,645.16 = 2,462.58 : x
  2. Step 2: Convert to fraction form
    3,762.72/5,645.16 = 2,462.58/x
  3. Step 3: Cross multiply
    3,762.72x = 5,645.16 × 2,462.58
  4. Step 4: Simplify right side
    3,762.72x = 13,901,658.11
  5. Step 5: Solve for x
    x = 13,901,658.11/3,762.72
  6. Step 6: Final answer
    x = 3,694.58

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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.