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Finding the Fourth Proportional to 5,153.34, 7,724.37 and 2,654.68

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Solution

The fourth proportional to 5,153.34, 7,724.37 and 2,654.68 is: 3,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.34 : 7,724.37 = 2,654.68 : x
  2. Step 2: Convert to fraction form
    5,153.34/7,724.37 = 2,654.68/x
  3. Step 3: Cross multiply
    5,153.34x = 7,724.37 × 2,654.68
  4. Step 4: Simplify right side
    5,153.34x = 20,505,730.55
  5. Step 5: Solve for x
    x = 20,505,730.55/5,153.34
  6. Step 6: Final answer
    x = 3,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.