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Finding the Fourth Proportional to 3,587.82, 4,951.10 and 2,016.02

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Solution

The fourth proportional to 3,587.82, 4,951.10 and 2,016.02 is: 2,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.82 : 4,951.10 = 2,016.02 : x
  2. Step 2: Convert to fraction form
    3,587.82/4,951.10 = 2,016.02/x
  3. Step 3: Cross multiply
    3,587.82x = 4,951.10 × 2,016.02
  4. Step 4: Simplify right side
    3,587.82x = 9,981,481.79
  5. Step 5: Solve for x
    x = 9,981,481.79/3,587.82
  6. Step 6: Final answer
    x = 2,782.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.