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Finding the Fourth Proportional to 4,283.91, 6,391.30 and 3,816.44

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Solution

The fourth proportional to 4,283.91, 6,391.30 and 3,816.44 is: 5,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.91 : 6,391.30 = 3,816.44 : x
  2. Step 2: Convert to fraction form
    4,283.91/6,391.30 = 3,816.44/x
  3. Step 3: Cross multiply
    4,283.91x = 6,391.30 × 3,816.44
  4. Step 4: Simplify right side
    4,283.91x = 24,391,971.47
  5. Step 5: Solve for x
    x = 24,391,971.47/4,283.91
  6. Step 6: Final answer
    x = 5,693.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.