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Finding the Fourth Proportional to 4,851.92, 7,264.92 and 3,787.04

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Solution

The fourth proportional to 4,851.92, 7,264.92 and 3,787.04 is: 5,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.92 : 7,264.92 = 3,787.04 : x
  2. Step 2: Convert to fraction form
    4,851.92/7,264.92 = 3,787.04/x
  3. Step 3: Cross multiply
    4,851.92x = 7,264.92 × 3,787.04
  4. Step 4: Simplify right side
    4,851.92x = 27,512,542.64
  5. Step 5: Solve for x
    x = 27,512,542.64/4,851.92
  6. Step 6: Final answer
    x = 5,670.44

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Why These Related Problems?

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