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Finding the Fourth Proportional to 4,251.54, 5,869.89 and 2,596.50

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Solution

The fourth proportional to 4,251.54, 5,869.89 and 2,596.50 is: 3,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.54 : 5,869.89 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    4,251.54/5,869.89 = 2,596.50/x
  3. Step 3: Cross multiply
    4,251.54x = 5,869.89 × 2,596.50
  4. Step 4: Simplify right side
    4,251.54x = 15,241,169.39
  5. Step 5: Solve for x
    x = 15,241,169.39/4,251.54
  6. Step 6: Final answer
    x = 3,584.86

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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.