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Finding the Fourth Proportional to 5,947.24, 8,917.82 and 3,482.84

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Solution

The fourth proportional to 5,947.24, 8,917.82 and 3,482.84 is: 5,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.24 : 8,917.82 = 3,482.84 : x
  2. Step 2: Convert to fraction form
    5,947.24/8,917.82 = 3,482.84/x
  3. Step 3: Cross multiply
    5,947.24x = 8,917.82 × 3,482.84
  4. Step 4: Simplify right side
    5,947.24x = 31,059,340.21
  5. Step 5: Solve for x
    x = 31,059,340.21/5,947.24
  6. Step 6: Final answer
    x = 5,222.48

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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.