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Finding the Fourth Proportional to 5,484.29, 8,227.65 and 2,561

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Solution

The fourth proportional to 5,484.29, 8,227.65 and 2,561 is: 3,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.29 : 8,227.65 = 2,561 : x
  2. Step 2: Convert to fraction form
    5,484.29/8,227.65 = 2,561/x
  3. Step 3: Cross multiply
    5,484.29x = 8,227.65 × 2,561
  4. Step 4: Simplify right side
    5,484.29x = 21,071,011.65
  5. Step 5: Solve for x
    x = 21,071,011.65/5,484.29
  6. Step 6: Final answer
    x = 3,842.07

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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.