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Finding the Fourth Proportional to 4,616.28, 6,913.26 and 3,231

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Solution

The fourth proportional to 4,616.28, 6,913.26 and 3,231 is: 4,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.28 : 6,913.26 = 3,231 : x
  2. Step 2: Convert to fraction form
    4,616.28/6,913.26 = 3,231/x
  3. Step 3: Cross multiply
    4,616.28x = 6,913.26 × 3,231
  4. Step 4: Simplify right side
    4,616.28x = 22,336,743.06
  5. Step 5: Solve for x
    x = 22,336,743.06/4,616.28
  6. Step 6: Final answer
    x = 4,838.69

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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.