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Finding the Fourth Proportional to 5,154.26, 7,724.54 and 2,688.41

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Solution

The fourth proportional to 5,154.26, 7,724.54 and 2,688.41 is: 4,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.26 : 7,724.54 = 2,688.41 : x
  2. Step 2: Convert to fraction form
    5,154.26/7,724.54 = 2,688.41/x
  3. Step 3: Cross multiply
    5,154.26x = 7,724.54 × 2,688.41
  4. Step 4: Simplify right side
    5,154.26x = 20,766,678.52
  5. Step 5: Solve for x
    x = 20,766,678.52/5,154.26
  6. Step 6: Final answer
    x = 4,029.04

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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.