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Finding the Fourth Proportional to 4,985.22, 6,871.38 and 3,658.44

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Solution

The fourth proportional to 4,985.22, 6,871.38 and 3,658.44 is: 5,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.22 : 6,871.38 = 3,658.44 : x
  2. Step 2: Convert to fraction form
    4,985.22/6,871.38 = 3,658.44/x
  3. Step 3: Cross multiply
    4,985.22x = 6,871.38 × 3,658.44
  4. Step 4: Simplify right side
    4,985.22x = 25,138,531.45
  5. Step 5: Solve for x
    x = 25,138,531.45/4,985.22
  6. Step 6: Final answer
    x = 5,042.61

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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.