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Finding the Fourth Proportional to 8,502.59, 12,740.90 and 3,569.54

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Solution

The fourth proportional to 8,502.59, 12,740.90 and 3,569.54 is: 5,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.59 : 12,740.90 = 3,569.54 : x
  2. Step 2: Convert to fraction form
    8,502.59/12,740.90 = 3,569.54/x
  3. Step 3: Cross multiply
    8,502.59x = 12,740.90 × 3,569.54
  4. Step 4: Simplify right side
    8,502.59x = 45,479,070.63
  5. Step 5: Solve for x
    x = 45,479,070.63/8,502.59
  6. Step 6: Final answer
    x = 5,348.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.