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Finding the Fourth Proportional to 4,224.52, 6,333.54 and 2,581.84

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Solution

The fourth proportional to 4,224.52, 6,333.54 and 2,581.84 is: 3,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.52 : 6,333.54 = 2,581.84 : x
  2. Step 2: Convert to fraction form
    4,224.52/6,333.54 = 2,581.84/x
  3. Step 3: Cross multiply
    4,224.52x = 6,333.54 × 2,581.84
  4. Step 4: Simplify right side
    4,224.52x = 16,352,186.91
  5. Step 5: Solve for x
    x = 16,352,186.91/4,224.52
  6. Step 6: Final answer
    x = 3,870.78

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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.