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Finding the Fourth Proportional to 3,837.01, 5,294.27 and 2,264.80

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Solution

The fourth proportional to 3,837.01, 5,294.27 and 2,264.80 is: 3,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.01 : 5,294.27 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    3,837.01/5,294.27 = 2,264.80/x
  3. Step 3: Cross multiply
    3,837.01x = 5,294.27 × 2,264.80
  4. Step 4: Simplify right side
    3,837.01x = 11,990,424.90
  5. Step 5: Solve for x
    x = 11,990,424.90/3,837.01
  6. Step 6: Final answer
    x = 3,124.94

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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.