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Finding the Fourth Proportional to 5,831.79, 8,745.35 and 2,542.56

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Solution

The fourth proportional to 5,831.79, 8,745.35 and 2,542.56 is: 3,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.79 : 8,745.35 = 2,542.56 : x
  2. Step 2: Convert to fraction form
    5,831.79/8,745.35 = 2,542.56/x
  3. Step 3: Cross multiply
    5,831.79x = 8,745.35 × 2,542.56
  4. Step 4: Simplify right side
    5,831.79x = 22,235,564.38
  5. Step 5: Solve for x
    x = 22,235,564.38/5,831.79
  6. Step 6: Final answer
    x = 3,812.82

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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.