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Finding the Fourth Proportional to 3,991.35, 5,984.61 and 1,652.89

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Solution

The fourth proportional to 3,991.35, 5,984.61 and 1,652.89 is: 2,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.35 : 5,984.61 = 1,652.89 : x
  2. Step 2: Convert to fraction form
    3,991.35/5,984.61 = 1,652.89/x
  3. Step 3: Cross multiply
    3,991.35x = 5,984.61 × 1,652.89
  4. Step 4: Simplify right side
    3,991.35x = 9,891,902.02
  5. Step 5: Solve for x
    x = 9,891,902.02/3,991.35
  6. Step 6: Final answer
    x = 2,478.33

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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.