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Finding the Fourth Proportional to 3,822.57, 5,733.86 and 1,357.65

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Solution

The fourth proportional to 3,822.57, 5,733.86 and 1,357.65 is: 2,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.57 : 5,733.86 = 1,357.65 : x
  2. Step 2: Convert to fraction form
    3,822.57/5,733.86 = 1,357.65/x
  3. Step 3: Cross multiply
    3,822.57x = 5,733.86 × 1,357.65
  4. Step 4: Simplify right side
    3,822.57x = 7,784,568.24
  5. Step 5: Solve for x
    x = 7,784,568.24/3,822.57
  6. Step 6: Final answer
    x = 2,036.48

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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.