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Finding the Fourth Proportional to 5,156.62, 7,728.04 and 2,686.26

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Solution

The fourth proportional to 5,156.62, 7,728.04 and 2,686.26 is: 4,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.62 : 7,728.04 = 2,686.26 : x
  2. Step 2: Convert to fraction form
    5,156.62/7,728.04 = 2,686.26/x
  3. Step 3: Cross multiply
    5,156.62x = 7,728.04 × 2,686.26
  4. Step 4: Simplify right side
    5,156.62x = 20,759,472.66
  5. Step 5: Solve for x
    x = 20,759,472.66/5,156.62
  6. Step 6: Final answer
    x = 4,025.79

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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.