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Finding the Fourth Proportional to 5,759.21, 7,947.65 and 3,275.21

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Solution

The fourth proportional to 5,759.21, 7,947.65 and 3,275.21 is: 4,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.21 : 7,947.65 = 3,275.21 : x
  2. Step 2: Convert to fraction form
    5,759.21/7,947.65 = 3,275.21/x
  3. Step 3: Cross multiply
    5,759.21x = 7,947.65 × 3,275.21
  4. Step 4: Simplify right side
    5,759.21x = 26,030,250.81
  5. Step 5: Solve for x
    x = 26,030,250.81/5,759.21
  6. Step 6: Final answer
    x = 4,519.76

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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.