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Finding the Fourth Proportional to 4,793.97, 7,182.32 and 4,013.13

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Solution

The fourth proportional to 4,793.97, 7,182.32 and 4,013.13 is: 6,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.97 : 7,182.32 = 4,013.13 : x
  2. Step 2: Convert to fraction form
    4,793.97/7,182.32 = 4,013.13/x
  3. Step 3: Cross multiply
    4,793.97x = 7,182.32 × 4,013.13
  4. Step 4: Simplify right side
    4,793.97x = 28,823,563.80
  5. Step 5: Solve for x
    x = 28,823,563.80/4,793.97
  6. Step 6: Final answer
    x = 6,012.46

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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.