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Finding the Fourth Proportional to 3,881.49, 5,355.54 and 2,266.15

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Solution

The fourth proportional to 3,881.49, 5,355.54 and 2,266.15 is: 3,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.49 : 5,355.54 = 2,266.15 : x
  2. Step 2: Convert to fraction form
    3,881.49/5,355.54 = 2,266.15/x
  3. Step 3: Cross multiply
    3,881.49x = 5,355.54 × 2,266.15
  4. Step 4: Simplify right side
    3,881.49x = 12,136,475.06
  5. Step 5: Solve for x
    x = 12,136,475.06/3,881.49
  6. Step 6: Final answer
    x = 3,126.75

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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.