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Finding the Fourth Proportional to 5,831.68, 8,747.52 and 2,369.20

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Solution

The fourth proportional to 5,831.68, 8,747.52 and 2,369.20 is: 3,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.68 : 8,747.52 = 2,369.20 : x
  2. Step 2: Convert to fraction form
    5,831.68/8,747.52 = 2,369.20/x
  3. Step 3: Cross multiply
    5,831.68x = 8,747.52 × 2,369.20
  4. Step 4: Simplify right side
    5,831.68x = 20,724,624.38
  5. Step 5: Solve for x
    x = 20,724,624.38/5,831.68
  6. Step 6: Final answer
    x = 3,553.80

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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.