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Finding the Fourth Proportional to 4,963.98, 7,446.03 and 1,842.78

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Solution

The fourth proportional to 4,963.98, 7,446.03 and 1,842.78 is: 2,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.98 : 7,446.03 = 1,842.78 : x
  2. Step 2: Convert to fraction form
    4,963.98/7,446.03 = 1,842.78/x
  3. Step 3: Cross multiply
    4,963.98x = 7,446.03 × 1,842.78
  4. Step 4: Simplify right side
    4,963.98x = 13,721,395.16
  5. Step 5: Solve for x
    x = 13,721,395.16/4,963.98
  6. Step 6: Final answer
    x = 2,764.19

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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.