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Finding the Fourth Proportional to 3,567.52, 5,354.16 and 1,516.96

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Solution

The fourth proportional to 3,567.52, 5,354.16 and 1,516.96 is: 2,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.52 : 5,354.16 = 1,516.96 : x
  2. Step 2: Convert to fraction form
    3,567.52/5,354.16 = 1,516.96/x
  3. Step 3: Cross multiply
    3,567.52x = 5,354.16 × 1,516.96
  4. Step 4: Simplify right side
    3,567.52x = 8,122,046.55
  5. Step 5: Solve for x
    x = 8,122,046.55/3,567.52
  6. Step 6: Final answer
    x = 2,276.66

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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.