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Finding the Fourth Proportional to 6,249.76, 8,612.80 and 4,478.29

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Solution

The fourth proportional to 6,249.76, 8,612.80 and 4,478.29 is: 6,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.76 : 8,612.80 = 4,478.29 : x
  2. Step 2: Convert to fraction form
    6,249.76/8,612.80 = 4,478.29/x
  3. Step 3: Cross multiply
    6,249.76x = 8,612.80 × 4,478.29
  4. Step 4: Simplify right side
    6,249.76x = 38,570,583.38
  5. Step 5: Solve for x
    x = 38,570,583.38/6,249.76
  6. Step 6: Final answer
    x = 6,171.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.