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Finding the Fourth Proportional to 3,677.49, 5,522.36 and 2,010.64

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Solution

The fourth proportional to 3,677.49, 5,522.36 and 2,010.64 is: 3,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.49 : 5,522.36 = 2,010.64 : x
  2. Step 2: Convert to fraction form
    3,677.49/5,522.36 = 2,010.64/x
  3. Step 3: Cross multiply
    3,677.49x = 5,522.36 × 2,010.64
  4. Step 4: Simplify right side
    3,677.49x = 11,103,477.91
  5. Step 5: Solve for x
    x = 11,103,477.91/3,677.49
  6. Step 6: Final answer
    x = 3,019.31

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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.