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Finding the Fourth Proportional to 5,266.65, 7,902.72 and 2,148.96

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Solution

The fourth proportional to 5,266.65, 7,902.72 and 2,148.96 is: 3,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.65 : 7,902.72 = 2,148.96 : x
  2. Step 2: Convert to fraction form
    5,266.65/7,902.72 = 2,148.96/x
  3. Step 3: Cross multiply
    5,266.65x = 7,902.72 × 2,148.96
  4. Step 4: Simplify right side
    5,266.65x = 16,982,629.17
  5. Step 5: Solve for x
    x = 16,982,629.17/5,266.65
  6. Step 6: Final answer
    x = 3,224.56

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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.