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Finding the Fourth Proportional to 5,872.74, 8,805.18 and 3,096.48

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Solution

The fourth proportional to 5,872.74, 8,805.18 and 3,096.48 is: 4,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.74 : 8,805.18 = 3,096.48 : x
  2. Step 2: Convert to fraction form
    5,872.74/8,805.18 = 3,096.48/x
  3. Step 3: Cross multiply
    5,872.74x = 8,805.18 × 3,096.48
  4. Step 4: Simplify right side
    5,872.74x = 27,265,063.77
  5. Step 5: Solve for x
    x = 27,265,063.77/5,872.74
  6. Step 6: Final answer
    x = 4,642.65

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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.