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Finding the Fourth Proportional to 5,920.98, 8,874.02 and 3,140.78

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Solution

The fourth proportional to 5,920.98, 8,874.02 and 3,140.78 is: 4,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.98 : 8,874.02 = 3,140.78 : x
  2. Step 2: Convert to fraction form
    5,920.98/8,874.02 = 3,140.78/x
  3. Step 3: Cross multiply
    5,920.98x = 8,874.02 × 3,140.78
  4. Step 4: Simplify right side
    5,920.98x = 27,871,344.54
  5. Step 5: Solve for x
    x = 27,871,344.54/5,920.98
  6. Step 6: Final answer
    x = 4,707.22

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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.