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Finding the Fourth Proportional to 5,375.25, 8,061.48 and 2,412

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Solution

The fourth proportional to 5,375.25, 8,061.48 and 2,412 is: 3,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.25 : 8,061.48 = 2,412 : x
  2. Step 2: Convert to fraction form
    5,375.25/8,061.48 = 2,412/x
  3. Step 3: Cross multiply
    5,375.25x = 8,061.48 × 2,412
  4. Step 4: Simplify right side
    5,375.25x = 19,444,289.76
  5. Step 5: Solve for x
    x = 19,444,289.76/5,375.25
  6. Step 6: Final answer
    x = 3,617.37

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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.