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Finding the Fourth Proportional to 5,251.56, 7,878.70 and 2,329.16

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Solution

The fourth proportional to 5,251.56, 7,878.70 and 2,329.16 is: 3,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.56 : 7,878.70 = 2,329.16 : x
  2. Step 2: Convert to fraction form
    5,251.56/7,878.70 = 2,329.16/x
  3. Step 3: Cross multiply
    5,251.56x = 7,878.70 × 2,329.16
  4. Step 4: Simplify right side
    5,251.56x = 18,350,752.89
  5. Step 5: Solve for x
    x = 18,350,752.89/5,251.56
  6. Step 6: Final answer
    x = 3,494.34

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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.