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Finding the Fourth Proportional to 3,578.08, 4,932.57 and 2,512.60

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Solution

The fourth proportional to 3,578.08, 4,932.57 and 2,512.60 is: 3,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.08 : 4,932.57 = 2,512.60 : x
  2. Step 2: Convert to fraction form
    3,578.08/4,932.57 = 2,512.60/x
  3. Step 3: Cross multiply
    3,578.08x = 4,932.57 × 2,512.60
  4. Step 4: Simplify right side
    3,578.08x = 12,393,575.38
  5. Step 5: Solve for x
    x = 12,393,575.38/3,578.08
  6. Step 6: Final answer
    x = 3,463.75

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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.