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Finding the Fourth Proportional to 6,226.32, 8,592.39 and 3,708.47

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Solution

The fourth proportional to 6,226.32, 8,592.39 and 3,708.47 is: 5,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.32 : 8,592.39 = 3,708.47 : x
  2. Step 2: Convert to fraction form
    6,226.32/8,592.39 = 3,708.47/x
  3. Step 3: Cross multiply
    6,226.32x = 8,592.39 × 3,708.47
  4. Step 4: Simplify right side
    6,226.32x = 31,864,568.31
  5. Step 5: Solve for x
    x = 31,864,568.31/6,226.32
  6. Step 6: Final answer
    x = 5,117.72

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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.