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Finding the Fourth Proportional to 4,251.16, 5,865.24 and 3,463.84

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Solution

The fourth proportional to 4,251.16, 5,865.24 and 3,463.84 is: 4,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.16 : 5,865.24 = 3,463.84 : x
  2. Step 2: Convert to fraction form
    4,251.16/5,865.24 = 3,463.84/x
  3. Step 3: Cross multiply
    4,251.16x = 5,865.24 × 3,463.84
  4. Step 4: Simplify right side
    4,251.16x = 20,316,252.92
  5. Step 5: Solve for x
    x = 20,316,252.92/4,251.16
  6. Step 6: Final answer
    x = 4,778.99

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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.