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Finding the Fourth Proportional to 5,679.60, 7,836.88 and 3,555.84

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Solution

The fourth proportional to 5,679.60, 7,836.88 and 3,555.84 is: 4,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.60 : 7,836.88 = 3,555.84 : x
  2. Step 2: Convert to fraction form
    5,679.60/7,836.88 = 3,555.84/x
  3. Step 3: Cross multiply
    5,679.60x = 7,836.88 × 3,555.84
  4. Step 4: Simplify right side
    5,679.60x = 27,866,691.38
  5. Step 5: Solve for x
    x = 27,866,691.38/5,679.60
  6. Step 6: Final answer
    x = 4,906.45

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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.