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Finding the Fourth Proportional to 3,831.42, 5,737.37 and 3,510.66

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Solution

The fourth proportional to 3,831.42, 5,737.37 and 3,510.66 is: 5,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.42 : 5,737.37 = 3,510.66 : x
  2. Step 2: Convert to fraction form
    3,831.42/5,737.37 = 3,510.66/x
  3. Step 3: Cross multiply
    3,831.42x = 5,737.37 × 3,510.66
  4. Step 4: Simplify right side
    3,831.42x = 20,141,937.81
  5. Step 5: Solve for x
    x = 20,141,937.81/3,831.42
  6. Step 6: Final answer
    x = 5,257.04

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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.