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Finding the Fourth Proportional to 4,963.14, 7,447.61 and 2,003.01

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Solution

The fourth proportional to 4,963.14, 7,447.61 and 2,003.01 is: 3,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.14 : 7,447.61 = 2,003.01 : x
  2. Step 2: Convert to fraction form
    4,963.14/7,447.61 = 2,003.01/x
  3. Step 3: Cross multiply
    4,963.14x = 7,447.61 × 2,003.01
  4. Step 4: Simplify right side
    4,963.14x = 14,917,614.39
  5. Step 5: Solve for x
    x = 14,917,614.39/4,963.14
  6. Step 6: Final answer
    x = 3,005.68

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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.