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Finding the Fourth Proportional to 3,831.30, 5,737.23 and 3,175.20

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Solution

The fourth proportional to 3,831.30, 5,737.23 and 3,175.20 is: 4,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.30 : 5,737.23 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    3,831.30/5,737.23 = 3,175.20/x
  3. Step 3: Cross multiply
    3,831.30x = 5,737.23 × 3,175.20
  4. Step 4: Simplify right side
    3,831.30x = 18,216,852.70
  5. Step 5: Solve for x
    x = 18,216,852.70/3,831.30
  6. Step 6: Final answer
    x = 4,754.74

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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.