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Finding the Fourth Proportional to 5,947.72, 8,206.17 and 3,429.63

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Solution

The fourth proportional to 5,947.72, 8,206.17 and 3,429.63 is: 4,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.72 : 8,206.17 = 3,429.63 : x
  2. Step 2: Convert to fraction form
    5,947.72/8,206.17 = 3,429.63/x
  3. Step 3: Cross multiply
    5,947.72x = 8,206.17 × 3,429.63
  4. Step 4: Simplify right side
    5,947.72x = 28,144,126.82
  5. Step 5: Solve for x
    x = 28,144,126.82/5,947.72
  6. Step 6: Final answer
    x = 4,731.92

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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.