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Finding the Fourth Proportional to 5,298.92, 7,950.30 and 2,561

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Solution

The fourth proportional to 5,298.92, 7,950.30 and 2,561 is: 3,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.92 : 7,950.30 = 2,561 : x
  2. Step 2: Convert to fraction form
    5,298.92/7,950.30 = 2,561/x
  3. Step 3: Cross multiply
    5,298.92x = 7,950.30 × 2,561
  4. Step 4: Simplify right side
    5,298.92x = 20,360,718.30
  5. Step 5: Solve for x
    x = 20,360,718.30/5,298.92
  6. Step 6: Final answer
    x = 3,842.43

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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.