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Finding the Fourth Proportional to 5,711.66, 8,569.54 and 4,149.02

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Solution

The fourth proportional to 5,711.66, 8,569.54 and 4,149.02 is: 6,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.66 : 8,569.54 = 4,149.02 : x
  2. Step 2: Convert to fraction form
    5,711.66/8,569.54 = 4,149.02/x
  3. Step 3: Cross multiply
    5,711.66x = 8,569.54 × 4,149.02
  4. Step 4: Simplify right side
    5,711.66x = 35,555,187.33
  5. Step 5: Solve for x
    x = 35,555,187.33/5,711.66
  6. Step 6: Final answer
    x = 6,225.02

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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.