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Finding the Fourth Proportional to 3,837.75, 5,296.29 and 2,266.35

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Solution

The fourth proportional to 3,837.75, 5,296.29 and 2,266.35 is: 3,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.75 : 5,296.29 = 2,266.35 : x
  2. Step 2: Convert to fraction form
    3,837.75/5,296.29 = 2,266.35/x
  3. Step 3: Cross multiply
    3,837.75x = 5,296.29 × 2,266.35
  4. Step 4: Simplify right side
    3,837.75x = 12,003,246.84
  5. Step 5: Solve for x
    x = 12,003,246.84/3,837.75
  6. Step 6: Final answer
    x = 3,127.68

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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.