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Finding the Fourth Proportional to 3,988.95, 5,982.41 and 1,647.05

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Solution

The fourth proportional to 3,988.95, 5,982.41 and 1,647.05 is: 2,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.95 : 5,982.41 = 1,647.05 : x
  2. Step 2: Convert to fraction form
    3,988.95/5,982.41 = 1,647.05/x
  3. Step 3: Cross multiply
    3,988.95x = 5,982.41 × 1,647.05
  4. Step 4: Simplify right side
    3,988.95x = 9,853,290.24
  5. Step 5: Solve for x
    x = 9,853,290.24/3,988.95
  6. Step 6: Final answer
    x = 2,470.15

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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.