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Finding the Fourth Proportional to 4,384.97, 6,546.24 and 4,231.20

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Solution

The fourth proportional to 4,384.97, 6,546.24 and 4,231.20 is: 6,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.97 : 6,546.24 = 4,231.20 : x
  2. Step 2: Convert to fraction form
    4,384.97/6,546.24 = 4,231.20/x
  3. Step 3: Cross multiply
    4,384.97x = 6,546.24 × 4,231.20
  4. Step 4: Simplify right side
    4,384.97x = 27,698,429.53
  5. Step 5: Solve for x
    x = 27,698,429.53/4,384.97
  6. Step 6: Final answer
    x = 6,316.68

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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.