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Finding the Fourth Proportional to 6,181.60, 9,227.43 and 5,724.76

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Solution

The fourth proportional to 6,181.60, 9,227.43 and 5,724.76 is: 8,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.60 : 9,227.43 = 5,724.76 : x
  2. Step 2: Convert to fraction form
    6,181.60/9,227.43 = 5,724.76/x
  3. Step 3: Cross multiply
    6,181.60x = 9,227.43 × 5,724.76
  4. Step 4: Simplify right side
    6,181.60x = 52,824,799.10
  5. Step 5: Solve for x
    x = 52,824,799.10/6,181.60
  6. Step 6: Final answer
    x = 8,545.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.