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Finding the Fourth Proportional to 3,613.61, 5,422.34 and 1,665.56

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Solution

The fourth proportional to 3,613.61, 5,422.34 and 1,665.56 is: 2,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.61 : 5,422.34 = 1,665.56 : x
  2. Step 2: Convert to fraction form
    3,613.61/5,422.34 = 1,665.56/x
  3. Step 3: Cross multiply
    3,613.61x = 5,422.34 × 1,665.56
  4. Step 4: Simplify right side
    3,613.61x = 9,031,250.33
  5. Step 5: Solve for x
    x = 9,031,250.33/3,613.61
  6. Step 6: Final answer
    x = 2,499.23

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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.