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Finding the Fourth Proportional to 4,863.80, 6,704.19 and 4,224.10

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Solution

The fourth proportional to 4,863.80, 6,704.19 and 4,224.10 is: 5,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.80 : 6,704.19 = 4,224.10 : x
  2. Step 2: Convert to fraction form
    4,863.80/6,704.19 = 4,224.10/x
  3. Step 3: Cross multiply
    4,863.80x = 6,704.19 × 4,224.10
  4. Step 4: Simplify right side
    4,863.80x = 28,319,177.36
  5. Step 5: Solve for x
    x = 28,319,177.36/4,863.80
  6. Step 6: Final answer
    x = 5,822.44

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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.