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Finding the Fourth Proportional to 3,588.50, 4,951.28 and 2,016.60

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Solution

The fourth proportional to 3,588.50, 4,951.28 and 2,016.60 is: 2,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.50 : 4,951.28 = 2,016.60 : x
  2. Step 2: Convert to fraction form
    3,588.50/4,951.28 = 2,016.60/x
  3. Step 3: Cross multiply
    3,588.50x = 4,951.28 × 2,016.60
  4. Step 4: Simplify right side
    3,588.50x = 9,984,726.38
  5. Step 5: Solve for x
    x = 9,984,726.38/3,588.50
  6. Step 6: Final answer
    x = 2,782.42

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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.