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Finding the Fourth Proportional to 6,264.48, 8,644.56 and 3,469.92

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Solution

The fourth proportional to 6,264.48, 8,644.56 and 3,469.92 is: 4,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.48 : 8,644.56 = 3,469.92 : x
  2. Step 2: Convert to fraction form
    6,264.48/8,644.56 = 3,469.92/x
  3. Step 3: Cross multiply
    6,264.48x = 8,644.56 × 3,469.92
  4. Step 4: Simplify right side
    6,264.48x = 29,995,931.64
  5. Step 5: Solve for x
    x = 29,995,931.64/6,264.48
  6. Step 6: Final answer
    x = 4,788.26

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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.