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Finding the Fourth Proportional to 3,847.80, 5,305.59 and 3,138.87

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Solution

The fourth proportional to 3,847.80, 5,305.59 and 3,138.87 is: 4,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.80 : 5,305.59 = 3,138.87 : x
  2. Step 2: Convert to fraction form
    3,847.80/5,305.59 = 3,138.87/x
  3. Step 3: Cross multiply
    3,847.80x = 5,305.59 × 3,138.87
  4. Step 4: Simplify right side
    3,847.80x = 16,653,557.28
  5. Step 5: Solve for x
    x = 16,653,557.28/3,847.80
  6. Step 6: Final answer
    x = 4,328.07

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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.