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Finding the Fourth Proportional to 3,498, 4,825.08 and 2,801.04

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Solution

The fourth proportional to 3,498, 4,825.08 and 2,801.04 is: 3,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 4,825.08 = 2,801.04 : x
  2. Step 2: Convert to fraction form
    3,498/4,825.08 = 2,801.04/x
  3. Step 3: Cross multiply
    3,498x = 4,825.08 × 2,801.04
  4. Step 4: Simplify right side
    3,498x = 13,515,242.08
  5. Step 5: Solve for x
    x = 13,515,242.08/3,498
  6. Step 6: Final answer
    x = 3,863.71

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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.