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Finding the Fourth Proportional to 3,831.50, 5,758.71 and 3,177.68

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Solution

The fourth proportional to 3,831.50, 5,758.71 and 3,177.68 is: 4,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.50 : 5,758.71 = 3,177.68 : x
  2. Step 2: Convert to fraction form
    3,831.50/5,758.71 = 3,177.68/x
  3. Step 3: Cross multiply
    3,831.50x = 5,758.71 × 3,177.68
  4. Step 4: Simplify right side
    3,831.50x = 18,299,308.80
  5. Step 5: Solve for x
    x = 18,299,308.80/3,831.50
  6. Step 6: Final answer
    x = 4,776.02

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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.