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Finding the Fourth Proportional to 4,589.26, 6,869.78 and 2,947.38

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Solution

The fourth proportional to 4,589.26, 6,869.78 and 2,947.38 is: 4,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.26 : 6,869.78 = 2,947.38 : x
  2. Step 2: Convert to fraction form
    4,589.26/6,869.78 = 2,947.38/x
  3. Step 3: Cross multiply
    4,589.26x = 6,869.78 × 2,947.38
  4. Step 4: Simplify right side
    4,589.26x = 20,247,852.18
  5. Step 5: Solve for x
    x = 20,247,852.18/4,589.26
  6. Step 6: Final answer
    x = 4,412.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.