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Finding the Fourth Proportional to 3,537.72, 5,306.52 and 1,197.22

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Solution

The fourth proportional to 3,537.72, 5,306.52 and 1,197.22 is: 1,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.72 : 5,306.52 = 1,197.22 : x
  2. Step 2: Convert to fraction form
    3,537.72/5,306.52 = 1,197.22/x
  3. Step 3: Cross multiply
    3,537.72x = 5,306.52 × 1,197.22
  4. Step 4: Simplify right side
    3,537.72x = 6,353,071.87
  5. Step 5: Solve for x
    x = 6,353,071.87/3,537.72
  6. Step 6: Final answer
    x = 1,795.81

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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.