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Finding the Fourth Proportional to 4,381.89, 6,560.07 and 2,296.95

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Solution

The fourth proportional to 4,381.89, 6,560.07 and 2,296.95 is: 3,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.89 : 6,560.07 = 2,296.95 : x
  2. Step 2: Convert to fraction form
    4,381.89/6,560.07 = 2,296.95/x
  3. Step 3: Cross multiply
    4,381.89x = 6,560.07 × 2,296.95
  4. Step 4: Simplify right side
    4,381.89x = 15,068,152.79
  5. Step 5: Solve for x
    x = 15,068,152.79/4,381.89
  6. Step 6: Final answer
    x = 3,438.73

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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.