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Finding the Fourth Proportional to 3,578.72, 5,370.16 and 2,040.80

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Solution

The fourth proportional to 3,578.72, 5,370.16 and 2,040.80 is: 3,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.72 : 5,370.16 = 2,040.80 : x
  2. Step 2: Convert to fraction form
    3,578.72/5,370.16 = 2,040.80/x
  3. Step 3: Cross multiply
    3,578.72x = 5,370.16 × 2,040.80
  4. Step 4: Simplify right side
    3,578.72x = 10,959,422.53
  5. Step 5: Solve for x
    x = 10,959,422.53/3,578.72
  6. Step 6: Final answer
    x = 3,062.39

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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.