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Finding the Fourth Proportional to 3,794.64, 5,662.56 and 3,357.24

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Solution

The fourth proportional to 3,794.64, 5,662.56 and 3,357.24 is: 5,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.64 : 5,662.56 = 3,357.24 : x
  2. Step 2: Convert to fraction form
    3,794.64/5,662.56 = 3,357.24/x
  3. Step 3: Cross multiply
    3,794.64x = 5,662.56 × 3,357.24
  4. Step 4: Simplify right side
    3,794.64x = 19,010,572.93
  5. Step 5: Solve for x
    x = 19,010,572.93/3,794.64
  6. Step 6: Final answer
    x = 5,009.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.