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Finding the Fourth Proportional to 3,537.54, 5,306.49 and 1,346.44

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Solution

The fourth proportional to 3,537.54, 5,306.49 and 1,346.44 is: 2,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.54 : 5,306.49 = 1,346.44 : x
  2. Step 2: Convert to fraction form
    3,537.54/5,306.49 = 1,346.44/x
  3. Step 3: Cross multiply
    3,537.54x = 5,306.49 × 1,346.44
  4. Step 4: Simplify right side
    3,537.54x = 7,144,870.40
  5. Step 5: Solve for x
    x = 7,144,870.40/3,537.54
  6. Step 6: Final answer
    x = 2,019.73

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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.