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Finding the Fourth Proportional to 3,498, 4,833.44 and 2,605.28

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Solution

The fourth proportional to 3,498, 4,833.44 and 2,605.28 is: 3,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 4,833.44 = 2,605.28 : x
  2. Step 2: Convert to fraction form
    3,498/4,833.44 = 2,605.28/x
  3. Step 3: Cross multiply
    3,498x = 4,833.44 × 2,605.28
  4. Step 4: Simplify right side
    3,498x = 12,592,464.56
  5. Step 5: Solve for x
    x = 12,592,464.56/3,498
  6. Step 6: Final answer
    x = 3,599.90

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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.