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Finding the Fourth Proportional to 5,148.48, 7,724.88 and 1,686

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Solution

The fourth proportional to 5,148.48, 7,724.88 and 1,686 is: 2,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.48 : 7,724.88 = 1,686 : x
  2. Step 2: Convert to fraction form
    5,148.48/7,724.88 = 1,686/x
  3. Step 3: Cross multiply
    5,148.48x = 7,724.88 × 1,686
  4. Step 4: Simplify right side
    5,148.48x = 13,024,147.68
  5. Step 5: Solve for x
    x = 13,024,147.68/5,148.48
  6. Step 6: Final answer
    x = 2,529.71

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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.