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Finding the Fourth Proportional to 3,609.90, 4,982 and 2,266.47

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Solution

The fourth proportional to 3,609.90, 4,982 and 2,266.47 is: 3,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.90 : 4,982 = 2,266.47 : x
  2. Step 2: Convert to fraction form
    3,609.90/4,982 = 2,266.47/x
  3. Step 3: Cross multiply
    3,609.90x = 4,982 × 2,266.47
  4. Step 4: Simplify right side
    3,609.90x = 11,291,553.54
  5. Step 5: Solve for x
    x = 11,291,553.54/3,609.90
  6. Step 6: Final answer
    x = 3,127.94

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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.