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Finding the Fourth Proportional to 5,872.93, 8,805.46 and 3,096.67

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Solution

The fourth proportional to 5,872.93, 8,805.46 and 3,096.67 is: 4,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.93 : 8,805.46 = 3,096.67 : x
  2. Step 2: Convert to fraction form
    5,872.93/8,805.46 = 3,096.67/x
  3. Step 3: Cross multiply
    5,872.93x = 8,805.46 × 3,096.67
  4. Step 4: Simplify right side
    5,872.93x = 27,267,585.68
  5. Step 5: Solve for x
    x = 27,267,585.68/5,872.93
  6. Step 6: Final answer
    x = 4,642.93

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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.