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Finding the Fourth Proportional to 3,578.68, 5,357.04 and 2,281.06

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Solution

The fourth proportional to 3,578.68, 5,357.04 and 2,281.06 is: 3,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.68 : 5,357.04 = 2,281.06 : x
  2. Step 2: Convert to fraction form
    3,578.68/5,357.04 = 2,281.06/x
  3. Step 3: Cross multiply
    3,578.68x = 5,357.04 × 2,281.06
  4. Step 4: Simplify right side
    3,578.68x = 12,219,729.66
  5. Step 5: Solve for x
    x = 12,219,729.66/3,578.68
  6. Step 6: Final answer
    x = 3,414.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.