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Finding the Fourth Proportional to 5,581.76, 8,373.93 and 2,462.66

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Solution

The fourth proportional to 5,581.76, 8,373.93 and 2,462.66 is: 3,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.76 : 8,373.93 = 2,462.66 : x
  2. Step 2: Convert to fraction form
    5,581.76/8,373.93 = 2,462.66/x
  3. Step 3: Cross multiply
    5,581.76x = 8,373.93 × 2,462.66
  4. Step 4: Simplify right side
    5,581.76x = 20,622,100.58
  5. Step 5: Solve for x
    x = 20,622,100.58/5,581.76
  6. Step 6: Final answer
    x = 3,694.55

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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.