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Finding the Fourth Proportional to 6,493.56, 8,960.56 and 3,974.59

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Solution

The fourth proportional to 6,493.56, 8,960.56 and 3,974.59 is: 5,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.56 : 8,960.56 = 3,974.59 : x
  2. Step 2: Convert to fraction form
    6,493.56/8,960.56 = 3,974.59/x
  3. Step 3: Cross multiply
    6,493.56x = 8,960.56 × 3,974.59
  4. Step 4: Simplify right side
    6,493.56x = 35,614,552.17
  5. Step 5: Solve for x
    x = 35,614,552.17/6,493.56
  6. Step 6: Final answer
    x = 5,484.60

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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.