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Finding the Fourth Proportional to 6,658.59, 9,188.55 and 3,823.97

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Solution

The fourth proportional to 6,658.59, 9,188.55 and 3,823.97 is: 5,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.59 : 9,188.55 = 3,823.97 : x
  2. Step 2: Convert to fraction form
    6,658.59/9,188.55 = 3,823.97/x
  3. Step 3: Cross multiply
    6,658.59x = 9,188.55 × 3,823.97
  4. Step 4: Simplify right side
    6,658.59x = 35,136,708.69
  5. Step 5: Solve for x
    x = 35,136,708.69/6,658.59
  6. Step 6: Final answer
    x = 5,276.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.