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Finding the Fourth Proportional to 3,806.22, 5,710.20 and 1,615.03

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Solution

The fourth proportional to 3,806.22, 5,710.20 and 1,615.03 is: 2,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.22 : 5,710.20 = 1,615.03 : x
  2. Step 2: Convert to fraction form
    3,806.22/5,710.20 = 1,615.03/x
  3. Step 3: Cross multiply
    3,806.22x = 5,710.20 × 1,615.03
  4. Step 4: Simplify right side
    3,806.22x = 9,222,144.31
  5. Step 5: Solve for x
    x = 9,222,144.31/3,806.22
  6. Step 6: Final answer
    x = 2,422.91

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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.