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Finding the Fourth Proportional to 5,924.31, 8,167.39 and 4,307.64

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Solution

The fourth proportional to 5,924.31, 8,167.39 and 4,307.64 is: 5,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.31 : 8,167.39 = 4,307.64 : x
  2. Step 2: Convert to fraction form
    5,924.31/8,167.39 = 4,307.64/x
  3. Step 3: Cross multiply
    5,924.31x = 8,167.39 × 4,307.64
  4. Step 4: Simplify right side
    5,924.31x = 35,182,175.86
  5. Step 5: Solve for x
    x = 35,182,175.86/5,924.31
  6. Step 6: Final answer
    x = 5,938.61

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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.