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Finding the Fourth Proportional to 5,974.11, 8,958.13 and 2,024.15

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Solution

The fourth proportional to 5,974.11, 8,958.13 and 2,024.15 is: 3,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.11 : 8,958.13 = 2,024.15 : x
  2. Step 2: Convert to fraction form
    5,974.11/8,958.13 = 2,024.15/x
  3. Step 3: Cross multiply
    5,974.11x = 8,958.13 × 2,024.15
  4. Step 4: Simplify right side
    5,974.11x = 18,132,548.99
  5. Step 5: Solve for x
    x = 18,132,548.99/5,974.11
  6. Step 6: Final answer
    x = 3,035.19

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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.