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Finding the Fourth Proportional to 2,986.56, 4,119.12 and 2,545.92

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Solution

The fourth proportional to 2,986.56, 4,119.12 and 2,545.92 is: 3,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.56 : 4,119.12 = 2,545.92 : x
  2. Step 2: Convert to fraction form
    2,986.56/4,119.12 = 2,545.92/x
  3. Step 3: Cross multiply
    2,986.56x = 4,119.12 × 2,545.92
  4. Step 4: Simplify right side
    2,986.56x = 10,486,949.99
  5. Step 5: Solve for x
    x = 10,486,949.99/2,986.56
  6. Step 6: Final answer
    x = 3,511.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.