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Finding the Fourth Proportional to 3,831.57, 5,291.02 and 2,417.76

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Solution

The fourth proportional to 3,831.57, 5,291.02 and 2,417.76 is: 3,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.57 : 5,291.02 = 2,417.76 : x
  2. Step 2: Convert to fraction form
    3,831.57/5,291.02 = 2,417.76/x
  3. Step 3: Cross multiply
    3,831.57x = 5,291.02 × 2,417.76
  4. Step 4: Simplify right side
    3,831.57x = 12,792,419.54
  5. Step 5: Solve for x
    x = 12,792,419.54/3,831.57
  6. Step 6: Final answer
    x = 3,338.69

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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.