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Finding the Fourth Proportional to 4,648.14, 6,414.42 and 2,785.14

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Solution

The fourth proportional to 4,648.14, 6,414.42 and 2,785.14 is: 3,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.14 : 6,414.42 = 2,785.14 : x
  2. Step 2: Convert to fraction form
    4,648.14/6,414.42 = 2,785.14/x
  3. Step 3: Cross multiply
    4,648.14x = 6,414.42 × 2,785.14
  4. Step 4: Simplify right side
    4,648.14x = 17,865,057.72
  5. Step 5: Solve for x
    x = 17,865,057.72/4,648.14
  6. Step 6: Final answer
    x = 3,843.49

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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.