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Finding the Fourth Proportional to 3,887, 5,831.04 and 1,289.24

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Solution

The fourth proportional to 3,887, 5,831.04 and 1,289.24 is: 1,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887 : 5,831.04 = 1,289.24 : x
  2. Step 2: Convert to fraction form
    3,887/5,831.04 = 1,289.24/x
  3. Step 3: Cross multiply
    3,887x = 5,831.04 × 1,289.24
  4. Step 4: Simplify right side
    3,887x = 7,517,610.01
  5. Step 5: Solve for x
    x = 7,517,610.01/3,887
  6. Step 6: Final answer
    x = 1,934.04

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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.