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Finding the Fourth Proportional to 3,887.52, 5,831.27 and 965.81

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Solution

The fourth proportional to 3,887.52, 5,831.27 and 965.81 is: 1,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.52 : 5,831.27 = 965.81 : x
  2. Step 2: Convert to fraction form
    3,887.52/5,831.27 = 965.81/x
  3. Step 3: Cross multiply
    3,887.52x = 5,831.27 × 965.81
  4. Step 4: Simplify right side
    3,887.52x = 5,631,864.89
  5. Step 5: Solve for x
    x = 5,631,864.89/3,887.52
  6. Step 6: Final answer
    x = 1,448.70

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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.