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Finding the Fourth Proportional to 4,231.95, 6,349.02 and 2,478.44

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Solution

The fourth proportional to 4,231.95, 6,349.02 and 2,478.44 is: 3,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.95 : 6,349.02 = 2,478.44 : x
  2. Step 2: Convert to fraction form
    4,231.95/6,349.02 = 2,478.44/x
  3. Step 3: Cross multiply
    4,231.95x = 6,349.02 × 2,478.44
  4. Step 4: Simplify right side
    4,231.95x = 15,735,633.38
  5. Step 5: Solve for x
    x = 15,735,633.38/4,231.95
  6. Step 6: Final answer
    x = 3,718.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.