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Finding the Fourth Proportional to 3,870, 5,796.72 and 3,287.52

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Solution

The fourth proportional to 3,870, 5,796.72 and 3,287.52 is: 4,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,796.72 = 3,287.52 : x
  2. Step 2: Convert to fraction form
    3,870/5,796.72 = 3,287.52/x
  3. Step 3: Cross multiply
    3,870x = 5,796.72 × 3,287.52
  4. Step 4: Simplify right side
    3,870x = 19,056,832.93
  5. Step 5: Solve for x
    x = 19,056,832.93/3,870
  6. Step 6: Final answer
    x = 4,924.25

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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.