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Finding the Fourth Proportional to 6,397.52, 8,820.36 and 4,297.04

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Solution

The fourth proportional to 6,397.52, 8,820.36 and 4,297.04 is: 5,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.52 : 8,820.36 = 4,297.04 : x
  2. Step 2: Convert to fraction form
    6,397.52/8,820.36 = 4,297.04/x
  3. Step 3: Cross multiply
    6,397.52x = 8,820.36 × 4,297.04
  4. Step 4: Simplify right side
    6,397.52x = 37,901,439.73
  5. Step 5: Solve for x
    x = 37,901,439.73/6,397.52
  6. Step 6: Final answer
    x = 5,924.40

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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.