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Finding the Fourth Proportional to 5,947.32, 8,207.68 and 3,429.89

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Solution

The fourth proportional to 5,947.32, 8,207.68 and 3,429.89 is: 4,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.32 : 8,207.68 = 3,429.89 : x
  2. Step 2: Convert to fraction form
    5,947.32/8,207.68 = 3,429.89/x
  3. Step 3: Cross multiply
    5,947.32x = 8,207.68 × 3,429.89
  4. Step 4: Simplify right side
    5,947.32x = 28,151,473.32
  5. Step 5: Solve for x
    x = 28,151,473.32/5,947.32
  6. Step 6: Final answer
    x = 4,733.47

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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.