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Finding the Fourth Proportional to 3,596.22, 5,394.30 and 2,428.20

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Solution

The fourth proportional to 3,596.22, 5,394.30 and 2,428.20 is: 3,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.22 : 5,394.30 = 2,428.20 : x
  2. Step 2: Convert to fraction form
    3,596.22/5,394.30 = 2,428.20/x
  3. Step 3: Cross multiply
    3,596.22x = 5,394.30 × 2,428.20
  4. Step 4: Simplify right side
    3,596.22x = 13,098,439.26
  5. Step 5: Solve for x
    x = 13,098,439.26/3,596.22
  6. Step 6: Final answer
    x = 3,642.28

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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.