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Finding the Fourth Proportional to 3,887.43, 5,831.27 and 1,254.91

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Solution

The fourth proportional to 3,887.43, 5,831.27 and 1,254.91 is: 1,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.43 : 5,831.27 = 1,254.91 : x
  2. Step 2: Convert to fraction form
    3,887.43/5,831.27 = 1,254.91/x
  3. Step 3: Cross multiply
    3,887.43x = 5,831.27 × 1,254.91
  4. Step 4: Simplify right side
    3,887.43x = 7,317,719.04
  5. Step 5: Solve for x
    x = 7,317,719.04/3,887.43
  6. Step 6: Final answer
    x = 1,882.41

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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.