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Finding the Fourth Proportional to 3,986.07, 5,979.80 and 1,353.30

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Solution

The fourth proportional to 3,986.07, 5,979.80 and 1,353.30 is: 2,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.07 : 5,979.80 = 1,353.30 : x
  2. Step 2: Convert to fraction form
    3,986.07/5,979.80 = 1,353.30/x
  3. Step 3: Cross multiply
    3,986.07x = 5,979.80 × 1,353.30
  4. Step 4: Simplify right side
    3,986.07x = 8,092,456.57
  5. Step 5: Solve for x
    x = 8,092,456.57/3,986.07
  6. Step 6: Final answer
    x = 2,030.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.