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Finding the Fourth Proportional to 3,887.79, 5,831.75 and 966.12

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Solution

The fourth proportional to 3,887.79, 5,831.75 and 966.12 is: 1,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.79 : 5,831.75 = 966.12 : x
  2. Step 2: Convert to fraction form
    3,887.79/5,831.75 = 966.12/x
  3. Step 3: Cross multiply
    3,887.79x = 5,831.75 × 966.12
  4. Step 4: Simplify right side
    3,887.79x = 5,634,170.31
  5. Step 5: Solve for x
    x = 5,634,170.31/3,887.79
  6. Step 6: Final answer
    x = 1,449.20

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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.