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Finding the Fourth Proportional to 5,658.66, 8,471.52 and 4,204.26

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Solution

The fourth proportional to 5,658.66, 8,471.52 and 4,204.26 is: 6,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.66 : 8,471.52 = 4,204.26 : x
  2. Step 2: Convert to fraction form
    5,658.66/8,471.52 = 4,204.26/x
  3. Step 3: Cross multiply
    5,658.66x = 8,471.52 × 4,204.26
  4. Step 4: Simplify right side
    5,658.66x = 35,616,472.68
  5. Step 5: Solve for x
    x = 35,616,472.68/5,658.66
  6. Step 6: Final answer
    x = 6,294.15

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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.