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Finding the Fourth Proportional to 3,999.49, 5,998.15 and 2,052.25

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Solution

The fourth proportional to 3,999.49, 5,998.15 and 2,052.25 is: 3,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.49 : 5,998.15 = 2,052.25 : x
  2. Step 2: Convert to fraction form
    3,999.49/5,998.15 = 2,052.25/x
  3. Step 3: Cross multiply
    3,999.49x = 5,998.15 × 2,052.25
  4. Step 4: Simplify right side
    3,999.49x = 12,309,703.34
  5. Step 5: Solve for x
    x = 12,309,703.34/3,999.49
  6. Step 6: Final answer
    x = 3,077.82

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1.5x scale

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.