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Finding the Fourth Proportional to 4,872.96, 7,292.43 and 3,985.20

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Solution

The fourth proportional to 4,872.96, 7,292.43 and 3,985.20 is: 5,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.96 : 7,292.43 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    4,872.96/7,292.43 = 3,985.20/x
  3. Step 3: Cross multiply
    4,872.96x = 7,292.43 × 3,985.20
  4. Step 4: Simplify right side
    4,872.96x = 29,061,792.04
  5. Step 5: Solve for x
    x = 29,061,792.04/4,872.96
  6. Step 6: Final answer
    x = 5,963.89

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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.