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Finding the Fourth Proportional to 3,847.53, 5,309.56 and 2,169.47

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Solution

The fourth proportional to 3,847.53, 5,309.56 and 2,169.47 is: 2,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.53 : 5,309.56 = 2,169.47 : x
  2. Step 2: Convert to fraction form
    3,847.53/5,309.56 = 2,169.47/x
  3. Step 3: Cross multiply
    3,847.53x = 5,309.56 × 2,169.47
  4. Step 4: Simplify right side
    3,847.53x = 11,518,931.13
  5. Step 5: Solve for x
    x = 11,518,931.13/3,847.53
  6. Step 6: Final answer
    x = 2,993.85

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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.