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Finding the Fourth Proportional to 5,972.60, 8,952.48 and 3,781.95

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Solution

The fourth proportional to 5,972.60, 8,952.48 and 3,781.95 is: 5,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.60 : 8,952.48 = 3,781.95 : x
  2. Step 2: Convert to fraction form
    5,972.60/8,952.48 = 3,781.95/x
  3. Step 3: Cross multiply
    5,972.60x = 8,952.48 × 3,781.95
  4. Step 4: Simplify right side
    5,972.60x = 33,857,831.74
  5. Step 5: Solve for x
    x = 33,857,831.74/5,972.60
  6. Step 6: Final answer
    x = 5,668.86

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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.