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Finding the Fourth Proportional to 3,348, 5,024.07 and 2,456.91

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Solution

The fourth proportional to 3,348, 5,024.07 and 2,456.91 is: 3,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 5,024.07 = 2,456.91 : x
  2. Step 2: Convert to fraction form
    3,348/5,024.07 = 2,456.91/x
  3. Step 3: Cross multiply
    3,348x = 5,024.07 × 2,456.91
  4. Step 4: Simplify right side
    3,348x = 12,343,687.82
  5. Step 5: Solve for x
    x = 12,343,687.82/3,348
  6. Step 6: Final answer
    x = 3,686.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.