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Finding the Fourth Proportional to 3,537.63, 5,306.63 and 1,346.54

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Solution

The fourth proportional to 3,537.63, 5,306.63 and 1,346.54 is: 2,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.63 : 5,306.63 = 1,346.54 : x
  2. Step 2: Convert to fraction form
    3,537.63/5,306.63 = 1,346.54/x
  3. Step 3: Cross multiply
    3,537.63x = 5,306.63 × 1,346.54
  4. Step 4: Simplify right side
    3,537.63x = 7,145,556.29
  5. Step 5: Solve for x
    x = 7,145,556.29/3,537.63
  6. Step 6: Final answer
    x = 2,019.87

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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.