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Finding the Fourth Proportional to 6,132.48, 8,462.88 and 3,648

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Solution

The fourth proportional to 6,132.48, 8,462.88 and 3,648 is: 5,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.48 : 8,462.88 = 3,648 : x
  2. Step 2: Convert to fraction form
    6,132.48/8,462.88 = 3,648/x
  3. Step 3: Cross multiply
    6,132.48x = 8,462.88 × 3,648
  4. Step 4: Simplify right side
    6,132.48x = 30,872,586.24
  5. Step 5: Solve for x
    x = 30,872,586.24/6,132.48
  6. Step 6: Final answer
    x = 5,034.27

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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.