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Finding the Fourth Proportional to 4,963.90, 7,447 and 2,191.36

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Solution

The fourth proportional to 4,963.90, 7,447 and 2,191.36 is: 3,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.90 : 7,447 = 2,191.36 : x
  2. Step 2: Convert to fraction form
    4,963.90/7,447 = 2,191.36/x
  3. Step 3: Cross multiply
    4,963.90x = 7,447 × 2,191.36
  4. Step 4: Simplify right side
    4,963.90x = 16,319,057.92
  5. Step 5: Solve for x
    x = 16,319,057.92/4,963.90
  6. Step 6: Final answer
    x = 3,287.55

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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.