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Finding the Fourth Proportional to 3,375.90, 4,660.38 and 2,319.24

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Solution

The fourth proportional to 3,375.90, 4,660.38 and 2,319.24 is: 3,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.90 : 4,660.38 = 2,319.24 : x
  2. Step 2: Convert to fraction form
    3,375.90/4,660.38 = 2,319.24/x
  3. Step 3: Cross multiply
    3,375.90x = 4,660.38 × 2,319.24
  4. Step 4: Simplify right side
    3,375.90x = 10,808,539.71
  5. Step 5: Solve for x
    x = 10,808,539.71/3,375.90
  6. Step 6: Final answer
    x = 3,201.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.