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Finding the Fourth Proportional to 3,824.58, 5,279.24 and 2,410.65

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Solution

The fourth proportional to 3,824.58, 5,279.24 and 2,410.65 is: 3,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.58 : 5,279.24 = 2,410.65 : x
  2. Step 2: Convert to fraction form
    3,824.58/5,279.24 = 2,410.65/x
  3. Step 3: Cross multiply
    3,824.58x = 5,279.24 × 2,410.65
  4. Step 4: Simplify right side
    3,824.58x = 12,726,420.78
  5. Step 5: Solve for x
    x = 12,726,420.78/3,824.58
  6. Step 6: Final answer
    x = 3,327.53

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