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Finding the Fourth Proportional to 3,584.38, 4,948.86 and 2,743.58

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Solution

The fourth proportional to 3,584.38, 4,948.86 and 2,743.58 is: 3,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.38 : 4,948.86 = 2,743.58 : x
  2. Step 2: Convert to fraction form
    3,584.38/4,948.86 = 2,743.58/x
  3. Step 3: Cross multiply
    3,584.38x = 4,948.86 × 2,743.58
  4. Step 4: Simplify right side
    3,584.38x = 13,577,593.32
  5. Step 5: Solve for x
    x = 13,577,593.32/3,584.38
  6. Step 6: Final answer
    x = 3,787.99

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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.