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Finding the Fourth Proportional to 3,831.80, 5,745.36 and 1,639.28

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Solution

The fourth proportional to 3,831.80, 5,745.36 and 1,639.28 is: 2,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.80 : 5,745.36 = 1,639.28 : x
  2. Step 2: Convert to fraction form
    3,831.80/5,745.36 = 1,639.28/x
  3. Step 3: Cross multiply
    3,831.80x = 5,745.36 × 1,639.28
  4. Step 4: Simplify right side
    3,831.80x = 9,418,253.74
  5. Step 5: Solve for x
    x = 9,418,253.74/3,831.80
  6. Step 6: Final answer
    x = 2,457.92

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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.