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Finding the Fourth Proportional to 5,374.52, 8,058 and 2,084.84

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Solution

The fourth proportional to 5,374.52, 8,058 and 2,084.84 is: 3,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.52 : 8,058 = 2,084.84 : x
  2. Step 2: Convert to fraction form
    5,374.52/8,058 = 2,084.84/x
  3. Step 3: Cross multiply
    5,374.52x = 8,058 × 2,084.84
  4. Step 4: Simplify right side
    5,374.52x = 16,799,640.72
  5. Step 5: Solve for x
    x = 16,799,640.72/5,374.52
  6. Step 6: Final answer
    x = 3,125.79

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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.