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Finding the Fourth Proportional to 3,831.57, 5,287.55 and 2,339.28

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Solution

The fourth proportional to 3,831.57, 5,287.55 and 2,339.28 is: 3,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.57 : 5,287.55 = 2,339.28 : x
  2. Step 2: Convert to fraction form
    3,831.57/5,287.55 = 2,339.28/x
  3. Step 3: Cross multiply
    3,831.57x = 5,287.55 × 2,339.28
  4. Step 4: Simplify right side
    3,831.57x = 12,369,048.27
  5. Step 5: Solve for x
    x = 12,369,048.27/3,831.57
  6. Step 6: Final answer
    x = 3,228.19

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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.