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Finding the Fourth Proportional to 5,947.08, 8,217.18 and 5,736.84

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Solution

The fourth proportional to 5,947.08, 8,217.18 and 5,736.84 is: 7,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.08 : 8,217.18 = 5,736.84 : x
  2. Step 2: Convert to fraction form
    5,947.08/8,217.18 = 5,736.84/x
  3. Step 3: Cross multiply
    5,947.08x = 8,217.18 × 5,736.84
  4. Step 4: Simplify right side
    5,947.08x = 47,140,646.91
  5. Step 5: Solve for x
    x = 47,140,646.91/5,947.08
  6. Step 6: Final answer
    x = 7,926.69

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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.