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Finding the Fourth Proportional to 5,947.66, 8,207.67 and 3,429.57

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Solution

The fourth proportional to 5,947.66, 8,207.67 and 3,429.57 is: 4,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.66 : 8,207.67 = 3,429.57 : x
  2. Step 2: Convert to fraction form
    5,947.66/8,207.67 = 3,429.57/x
  3. Step 3: Cross multiply
    5,947.66x = 8,207.67 × 3,429.57
  4. Step 4: Simplify right side
    5,947.66x = 28,148,822.44
  5. Step 5: Solve for x
    x = 28,148,822.44/5,947.66
  6. Step 6: Final answer
    x = 4,732.75

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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.