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Finding the Fourth Proportional to 3,859.25, 5,785.63 and 1,552.37

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Solution

The fourth proportional to 3,859.25, 5,785.63 and 1,552.37 is: 2,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.25 : 5,785.63 = 1,552.37 : x
  2. Step 2: Convert to fraction form
    3,859.25/5,785.63 = 1,552.37/x
  3. Step 3: Cross multiply
    3,859.25x = 5,785.63 × 1,552.37
  4. Step 4: Simplify right side
    3,859.25x = 8,981,405.63
  5. Step 5: Solve for x
    x = 8,981,405.63/3,859.25
  6. Step 6: Final answer
    x = 2,327.24

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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.