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Finding the Fourth Proportional to 3,859.12, 5,787.16 and 1,393.08

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Solution

The fourth proportional to 3,859.12, 5,787.16 and 1,393.08 is: 2,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.12 : 5,787.16 = 1,393.08 : x
  2. Step 2: Convert to fraction form
    3,859.12/5,787.16 = 1,393.08/x
  3. Step 3: Cross multiply
    3,859.12x = 5,787.16 × 1,393.08
  4. Step 4: Simplify right side
    3,859.12x = 8,061,976.85
  5. Step 5: Solve for x
    x = 8,061,976.85/3,859.12
  6. Step 6: Final answer
    x = 2,089.07

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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.