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Finding the Fourth Proportional to 3,794.64, 5,233.44 and 2,908.80

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Solution

The fourth proportional to 3,794.64, 5,233.44 and 2,908.80 is: 4,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.64 : 5,233.44 = 2,908.80 : x
  2. Step 2: Convert to fraction form
    3,794.64/5,233.44 = 2,908.80/x
  3. Step 3: Cross multiply
    3,794.64x = 5,233.44 × 2,908.80
  4. Step 4: Simplify right side
    3,794.64x = 15,223,030.27
  5. Step 5: Solve for x
    x = 15,223,030.27/3,794.64
  6. Step 6: Final answer
    x = 4,011.72

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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.