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Finding the Fourth Proportional to 3,999.24, 5,998.91 and 1,534.18

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Solution

The fourth proportional to 3,999.24, 5,998.91 and 1,534.18 is: 2,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.24 : 5,998.91 = 1,534.18 : x
  2. Step 2: Convert to fraction form
    3,999.24/5,998.91 = 1,534.18/x
  3. Step 3: Cross multiply
    3,999.24x = 5,998.91 × 1,534.18
  4. Step 4: Simplify right side
    3,999.24x = 9,203,407.74
  5. Step 5: Solve for x
    x = 9,203,407.74/3,999.24
  6. Step 6: Final answer
    x = 2,301.29

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