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Finding the Fourth Proportional to 4,636.78, 6,957.45 and 2,171.17

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Solution

The fourth proportional to 4,636.78, 6,957.45 and 2,171.17 is: 3,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.78 : 6,957.45 = 2,171.17 : x
  2. Step 2: Convert to fraction form
    4,636.78/6,957.45 = 2,171.17/x
  3. Step 3: Cross multiply
    4,636.78x = 6,957.45 × 2,171.17
  4. Step 4: Simplify right side
    4,636.78x = 15,105,815.41
  5. Step 5: Solve for x
    x = 15,105,815.41/4,636.78
  6. Step 6: Final answer
    x = 3,257.83

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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.