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Finding the Fourth Proportional to 4,306.54, 5,943.03 and 2,816.98

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Solution

The fourth proportional to 4,306.54, 5,943.03 and 2,816.98 is: 3,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.54 : 5,943.03 = 2,816.98 : x
  2. Step 2: Convert to fraction form
    4,306.54/5,943.03 = 2,816.98/x
  3. Step 3: Cross multiply
    4,306.54x = 5,943.03 × 2,816.98
  4. Step 4: Simplify right side
    4,306.54x = 16,741,396.65
  5. Step 5: Solve for x
    x = 16,741,396.65/4,306.54
  6. Step 6: Final answer
    x = 3,887.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.