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Finding the Fourth Proportional to 3,614.56, 4,986 and 2,493.76

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Solution

The fourth proportional to 3,614.56, 4,986 and 2,493.76 is: 3,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.56 : 4,986 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    3,614.56/4,986 = 2,493.76/x
  3. Step 3: Cross multiply
    3,614.56x = 4,986 × 2,493.76
  4. Step 4: Simplify right side
    3,614.56x = 12,433,887.36
  5. Step 5: Solve for x
    x = 12,433,887.36/3,614.56
  6. Step 6: Final answer
    x = 3,439.94

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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.