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Finding the Fourth Proportional to 3,772.52, 5,658.66 and 1,174.76

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Solution

The fourth proportional to 3,772.52, 5,658.66 and 1,174.76 is: 1,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.52 : 5,658.66 = 1,174.76 : x
  2. Step 2: Convert to fraction form
    3,772.52/5,658.66 = 1,174.76/x
  3. Step 3: Cross multiply
    3,772.52x = 5,658.66 × 1,174.76
  4. Step 4: Simplify right side
    3,772.52x = 6,647,567.42
  5. Step 5: Solve for x
    x = 6,647,567.42/3,772.52
  6. Step 6: Final answer
    x = 1,762.10

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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.