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Finding the Fourth Proportional to 4,691.45, 6,474.12 and 2,702

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Solution

The fourth proportional to 4,691.45, 6,474.12 and 2,702 is: 3,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.45 : 6,474.12 = 2,702 : x
  2. Step 2: Convert to fraction form
    4,691.45/6,474.12 = 2,702/x
  3. Step 3: Cross multiply
    4,691.45x = 6,474.12 × 2,702
  4. Step 4: Simplify right side
    4,691.45x = 17,493,072.24
  5. Step 5: Solve for x
    x = 17,493,072.24/4,691.45
  6. Step 6: Final answer
    x = 3,728.71

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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.