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Finding the Fourth Proportional to 3,831.48, 5,288.14 and 2,259.64

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Solution

The fourth proportional to 3,831.48, 5,288.14 and 2,259.64 is: 3,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,288.14 = 2,259.64 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,288.14 = 2,259.64/x
  3. Step 3: Cross multiply
    3,831.48x = 5,288.14 × 2,259.64
  4. Step 4: Simplify right side
    3,831.48x = 11,949,292.67
  5. Step 5: Solve for x
    x = 11,949,292.67/3,831.48
  6. Step 6: Final answer
    x = 3,118.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.