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Finding the Fourth Proportional to 3,947.58, 5,447.04 and 2,269.05

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Solution

The fourth proportional to 3,947.58, 5,447.04 and 2,269.05 is: 3,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.58 : 5,447.04 = 2,269.05 : x
  2. Step 2: Convert to fraction form
    3,947.58/5,447.04 = 2,269.05/x
  3. Step 3: Cross multiply
    3,947.58x = 5,447.04 × 2,269.05
  4. Step 4: Simplify right side
    3,947.58x = 12,359,606.11
  5. Step 5: Solve for x
    x = 12,359,606.11/3,947.58
  6. Step 6: Final answer
    x = 3,130.93

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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.