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Finding the Fourth Proportional to 5,849.48, 8,775.50 and 2,561.48

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Solution

The fourth proportional to 5,849.48, 8,775.50 and 2,561.48 is: 3,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.48 : 8,775.50 = 2,561.48 : x
  2. Step 2: Convert to fraction form
    5,849.48/8,775.50 = 2,561.48/x
  3. Step 3: Cross multiply
    5,849.48x = 8,775.50 × 2,561.48
  4. Step 4: Simplify right side
    5,849.48x = 22,478,267.74
  5. Step 5: Solve for x
    x = 22,478,267.74/5,849.48
  6. Step 6: Final answer
    x = 3,842.78

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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.