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Finding the Fourth Proportional to 3,728.50, 5,146.41 and 2,486.50

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Solution

The fourth proportional to 3,728.50, 5,146.41 and 2,486.50 is: 3,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.50 : 5,146.41 = 2,486.50 : x
  2. Step 2: Convert to fraction form
    3,728.50/5,146.41 = 2,486.50/x
  3. Step 3: Cross multiply
    3,728.50x = 5,146.41 × 2,486.50
  4. Step 4: Simplify right side
    3,728.50x = 12,796,548.47
  5. Step 5: Solve for x
    x = 12,796,548.47/3,728.50
  6. Step 6: Final answer
    x = 3,432.09

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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.