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Finding the Fourth Proportional to 4,026.54, 6,049.03 and 2,384.22

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Solution

The fourth proportional to 4,026.54, 6,049.03 and 2,384.22 is: 3,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.54 : 6,049.03 = 2,384.22 : x
  2. Step 2: Convert to fraction form
    4,026.54/6,049.03 = 2,384.22/x
  3. Step 3: Cross multiply
    4,026.54x = 6,049.03 × 2,384.22
  4. Step 4: Simplify right side
    4,026.54x = 14,422,218.31
  5. Step 5: Solve for x
    x = 14,422,218.31/4,026.54
  6. Step 6: Final answer
    x = 3,581.79

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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.