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Finding the Fourth Proportional to 3,537.42, 5,294.22 and 3,262.20

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Solution

The fourth proportional to 3,537.42, 5,294.22 and 3,262.20 is: 4,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.42 : 5,294.22 = 3,262.20 : x
  2. Step 2: Convert to fraction form
    3,537.42/5,294.22 = 3,262.20/x
  3. Step 3: Cross multiply
    3,537.42x = 5,294.22 × 3,262.20
  4. Step 4: Simplify right side
    3,537.42x = 17,270,804.48
  5. Step 5: Solve for x
    x = 17,270,804.48/3,537.42
  6. Step 6: Final answer
    x = 4,882.32

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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.