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Finding the Fourth Proportional to 4,963.01, 7,447.43 and 2,002.88

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Solution

The fourth proportional to 4,963.01, 7,447.43 and 2,002.88 is: 3,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.01 : 7,447.43 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    4,963.01/7,447.43 = 2,002.88/x
  3. Step 3: Cross multiply
    4,963.01x = 7,447.43 × 2,002.88
  4. Step 4: Simplify right side
    4,963.01x = 14,916,308.60
  5. Step 5: Solve for x
    x = 14,916,308.60/4,963.01
  6. Step 6: Final answer
    x = 3,005.50

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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.