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Finding the Fourth Proportional to 4,192.42, 5,785.78 and 2,329.42

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Solution

The fourth proportional to 4,192.42, 5,785.78 and 2,329.42 is: 3,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.42 : 5,785.78 = 2,329.42 : x
  2. Step 2: Convert to fraction form
    4,192.42/5,785.78 = 2,329.42/x
  3. Step 3: Cross multiply
    4,192.42x = 5,785.78 × 2,329.42
  4. Step 4: Simplify right side
    4,192.42x = 13,477,511.65
  5. Step 5: Solve for x
    x = 13,477,511.65/4,192.42
  6. Step 6: Final answer
    x = 3,214.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.