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Finding the Fourth Proportional to 3,831.90, 5,747.67 and 1,523.40

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Solution

The fourth proportional to 3,831.90, 5,747.67 and 1,523.40 is: 2,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.90 : 5,747.67 = 1,523.40 : x
  2. Step 2: Convert to fraction form
    3,831.90/5,747.67 = 1,523.40/x
  3. Step 3: Cross multiply
    3,831.90x = 5,747.67 × 1,523.40
  4. Step 4: Simplify right side
    3,831.90x = 8,756,000.48
  5. Step 5: Solve for x
    x = 8,756,000.48/3,831.90
  6. Step 6: Final answer
    x = 2,285.03

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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.