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Finding the Fourth Proportional to 5,102.70, 7,660.13 and 3,724.08

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Solution

The fourth proportional to 5,102.70, 7,660.13 and 3,724.08 is: 5,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.70 : 7,660.13 = 3,724.08 : x
  2. Step 2: Convert to fraction form
    5,102.70/7,660.13 = 3,724.08/x
  3. Step 3: Cross multiply
    5,102.70x = 7,660.13 × 3,724.08
  4. Step 4: Simplify right side
    5,102.70x = 28,526,918.31
  5. Step 5: Solve for x
    x = 28,526,918.31/5,102.70
  6. Step 6: Final answer
    x = 5,590.55

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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.