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Finding the Fourth Proportional to 3,772.16, 5,658.24 and 3,461.12

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Solution

The fourth proportional to 3,772.16, 5,658.24 and 3,461.12 is: 5,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.16 : 5,658.24 = 3,461.12 : x
  2. Step 2: Convert to fraction form
    3,772.16/5,658.24 = 3,461.12/x
  3. Step 3: Cross multiply
    3,772.16x = 5,658.24 × 3,461.12
  4. Step 4: Simplify right side
    3,772.16x = 19,583,847.63
  5. Step 5: Solve for x
    x = 19,583,847.63/3,772.16
  6. Step 6: Final answer
    x = 5,191.68

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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.