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Finding the Fourth Proportional to 5,186.50, 7,780.56 and 1,724.56

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Solution

The fourth proportional to 5,186.50, 7,780.56 and 1,724.56 is: 2,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.50 : 7,780.56 = 1,724.56 : x
  2. Step 2: Convert to fraction form
    5,186.50/7,780.56 = 1,724.56/x
  3. Step 3: Cross multiply
    5,186.50x = 7,780.56 × 1,724.56
  4. Step 4: Simplify right side
    5,186.50x = 13,418,042.55
  5. Step 5: Solve for x
    x = 13,418,042.55/5,186.50
  6. Step 6: Final answer
    x = 2,587.11

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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.