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Finding the Fourth Proportional to 6,132, 8,463.12 and 3,649.44

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Solution

The fourth proportional to 6,132, 8,463.12 and 3,649.44 is: 5,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132 : 8,463.12 = 3,649.44 : x
  2. Step 2: Convert to fraction form
    6,132/8,463.12 = 3,649.44/x
  3. Step 3: Cross multiply
    6,132x = 8,463.12 × 3,649.44
  4. Step 4: Simplify right side
    6,132x = 30,885,648.65
  5. Step 5: Solve for x
    x = 30,885,648.65/6,132
  6. Step 6: Final answer
    x = 5,036.80

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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.