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Finding the Fourth Proportional to 4,251.73, 6,378.84 and 1,785.25

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Solution

The fourth proportional to 4,251.73, 6,378.84 and 1,785.25 is: 2,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.73 : 6,378.84 = 1,785.25 : x
  2. Step 2: Convert to fraction form
    4,251.73/6,378.84 = 1,785.25/x
  3. Step 3: Cross multiply
    4,251.73x = 6,378.84 × 1,785.25
  4. Step 4: Simplify right side
    4,251.73x = 11,387,824.11
  5. Step 5: Solve for x
    x = 11,387,824.11/4,251.73
  6. Step 6: Final answer
    x = 2,678.40

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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.