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Finding the Fourth Proportional to 5,033.86, 6,947.30 and 2,909.64

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Solution

The fourth proportional to 5,033.86, 6,947.30 and 2,909.64 is: 4,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.86 : 6,947.30 = 2,909.64 : x
  2. Step 2: Convert to fraction form
    5,033.86/6,947.30 = 2,909.64/x
  3. Step 3: Cross multiply
    5,033.86x = 6,947.30 × 2,909.64
  4. Step 4: Simplify right side
    5,033.86x = 20,214,141.97
  5. Step 5: Solve for x
    x = 20,214,141.97/5,033.86
  6. Step 6: Final answer
    x = 4,015.63

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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.