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Finding the Fourth Proportional to 4,696.90, 7,046.20 and 2,231.70

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Solution

The fourth proportional to 4,696.90, 7,046.20 and 2,231.70 is: 3,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.90 : 7,046.20 = 2,231.70 : x
  2. Step 2: Convert to fraction form
    4,696.90/7,046.20 = 2,231.70/x
  3. Step 3: Cross multiply
    4,696.90x = 7,046.20 × 2,231.70
  4. Step 4: Simplify right side
    4,696.90x = 15,725,004.54
  5. Step 5: Solve for x
    x = 15,725,004.54/4,696.90
  6. Step 6: Final answer
    x = 3,347.95

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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.