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Finding the Fourth Proportional to 3,847.37, 5,306.65 and 3,718.78

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Solution

The fourth proportional to 3,847.37, 5,306.65 and 3,718.78 is: 5,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.37 : 5,306.65 = 3,718.78 : x
  2. Step 2: Convert to fraction form
    3,847.37/5,306.65 = 3,718.78/x
  3. Step 3: Cross multiply
    3,847.37x = 5,306.65 × 3,718.78
  4. Step 4: Simplify right side
    3,847.37x = 19,734,241.32
  5. Step 5: Solve for x
    x = 19,734,241.32/3,847.37
  6. Step 6: Final answer
    x = 5,129.29

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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.