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Finding the Fourth Proportional to 4,696.44, 6,478.82 and 3,103.71

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Solution

The fourth proportional to 4,696.44, 6,478.82 and 3,103.71 is: 4,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.44 : 6,478.82 = 3,103.71 : x
  2. Step 2: Convert to fraction form
    4,696.44/6,478.82 = 3,103.71/x
  3. Step 3: Cross multiply
    4,696.44x = 6,478.82 × 3,103.71
  4. Step 4: Simplify right side
    4,696.44x = 20,108,350.25
  5. Step 5: Solve for x
    x = 20,108,350.25/4,696.44
  6. Step 6: Final answer
    x = 4,281.62

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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.