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Finding the Fourth Proportional to 3,255.84, 4,874.40 and 2,478.96

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Solution

The fourth proportional to 3,255.84, 4,874.40 and 2,478.96 is: 3,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.84 : 4,874.40 = 2,478.96 : x
  2. Step 2: Convert to fraction form
    3,255.84/4,874.40 = 2,478.96/x
  3. Step 3: Cross multiply
    3,255.84x = 4,874.40 × 2,478.96
  4. Step 4: Simplify right side
    3,255.84x = 12,083,442.62
  5. Step 5: Solve for x
    x = 12,083,442.62/3,255.84
  6. Step 6: Final answer
    x = 3,711.31

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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.