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Finding the Fourth Proportional to 3,403.82, 4,694.14 and 2,207.55

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Solution

The fourth proportional to 3,403.82, 4,694.14 and 2,207.55 is: 3,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.82 : 4,694.14 = 2,207.55 : x
  2. Step 2: Convert to fraction form
    3,403.82/4,694.14 = 2,207.55/x
  3. Step 3: Cross multiply
    3,403.82x = 4,694.14 × 2,207.55
  4. Step 4: Simplify right side
    3,403.82x = 10,362,551.52
  5. Step 5: Solve for x
    x = 10,362,551.52/3,403.82
  6. Step 6: Final answer
    x = 3,044.39

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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.