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Finding the Fourth Proportional to 3,162.95, 4,744.92 and 1,082.47

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Solution

The fourth proportional to 3,162.95, 4,744.92 and 1,082.47 is: 1,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.95 : 4,744.92 = 1,082.47 : x
  2. Step 2: Convert to fraction form
    3,162.95/4,744.92 = 1,082.47/x
  3. Step 3: Cross multiply
    3,162.95x = 4,744.92 × 1,082.47
  4. Step 4: Simplify right side
    3,162.95x = 5,136,233.55
  5. Step 5: Solve for x
    x = 5,136,233.55/3,162.95
  6. Step 6: Final answer
    x = 1,623.87

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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.