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Finding the Fourth Proportional to 3,711.93, 5,568.57 and 1,864.32

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Solution

The fourth proportional to 3,711.93, 5,568.57 and 1,864.32 is: 2,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.93 : 5,568.57 = 1,864.32 : x
  2. Step 2: Convert to fraction form
    3,711.93/5,568.57 = 1,864.32/x
  3. Step 3: Cross multiply
    3,711.93x = 5,568.57 × 1,864.32
  4. Step 4: Simplify right side
    3,711.93x = 10,381,596.42
  5. Step 5: Solve for x
    x = 10,381,596.42/3,711.93
  6. Step 6: Final answer
    x = 2,796.82

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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.