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Finding the Fourth Proportional to 4,391.89, 6,589.59 and 1,928.14

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Solution

The fourth proportional to 4,391.89, 6,589.59 and 1,928.14 is: 2,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391.89 : 6,589.59 = 1,928.14 : x
  2. Step 2: Convert to fraction form
    4,391.89/6,589.59 = 1,928.14/x
  3. Step 3: Cross multiply
    4,391.89x = 6,589.59 × 1,928.14
  4. Step 4: Simplify right side
    4,391.89x = 12,705,652.06
  5. Step 5: Solve for x
    x = 12,705,652.06/4,391.89
  6. Step 6: Final answer
    x = 2,892.98

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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.