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Finding the Fourth Proportional to 4,586.70, 6,882.78 and 3,182.22

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Solution

The fourth proportional to 4,586.70, 6,882.78 and 3,182.22 is: 4,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.70 : 6,882.78 = 3,182.22 : x
  2. Step 2: Convert to fraction form
    4,586.70/6,882.78 = 3,182.22/x
  3. Step 3: Cross multiply
    4,586.70x = 6,882.78 × 3,182.22
  4. Step 4: Simplify right side
    4,586.70x = 21,902,520.17
  5. Step 5: Solve for x
    x = 21,902,520.17/4,586.70
  6. Step 6: Final answer
    x = 4,775.22

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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.