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Finding the Fourth Proportional to 5,375, 8,062.14 and 1,479.44

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Solution

The fourth proportional to 5,375, 8,062.14 and 1,479.44 is: 2,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375 : 8,062.14 = 1,479.44 : x
  2. Step 2: Convert to fraction form
    5,375/8,062.14 = 1,479.44/x
  3. Step 3: Cross multiply
    5,375x = 8,062.14 × 1,479.44
  4. Step 4: Simplify right side
    5,375x = 11,927,452.40
  5. Step 5: Solve for x
    x = 11,927,452.40/5,375
  6. Step 6: Final answer
    x = 2,219.06

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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.