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Finding the Fourth Proportional to 2,772.68, 3,817.86 and 2,596.40

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Solution

The fourth proportional to 2,772.68, 3,817.86 and 2,596.40 is: 3,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.68 : 3,817.86 = 2,596.40 : x
  2. Step 2: Convert to fraction form
    2,772.68/3,817.86 = 2,596.40/x
  3. Step 3: Cross multiply
    2,772.68x = 3,817.86 × 2,596.40
  4. Step 4: Simplify right side
    2,772.68x = 9,912,691.70
  5. Step 5: Solve for x
    x = 9,912,691.70/2,772.68
  6. Step 6: Final answer
    x = 3,575.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.