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Finding the Fourth Proportional to 4,143.44, 6,205.02 and 2,678.18

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Solution

The fourth proportional to 4,143.44, 6,205.02 and 2,678.18 is: 4,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.44 : 6,205.02 = 2,678.18 : x
  2. Step 2: Convert to fraction form
    4,143.44/6,205.02 = 2,678.18/x
  3. Step 3: Cross multiply
    4,143.44x = 6,205.02 × 2,678.18
  4. Step 4: Simplify right side
    4,143.44x = 16,618,160.46
  5. Step 5: Solve for x
    x = 16,618,160.46/4,143.44
  6. Step 6: Final answer
    x = 4,010.72

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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.