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Finding the Fourth Proportional to 5,537.40, 8,305.14 and 1,839.48

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Solution

The fourth proportional to 5,537.40, 8,305.14 and 1,839.48 is: 2,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.40 : 8,305.14 = 1,839.48 : x
  2. Step 2: Convert to fraction form
    5,537.40/8,305.14 = 1,839.48/x
  3. Step 3: Cross multiply
    5,537.40x = 8,305.14 × 1,839.48
  4. Step 4: Simplify right side
    5,537.40x = 15,277,138.93
  5. Step 5: Solve for x
    x = 15,277,138.93/5,537.40
  6. Step 6: Final answer
    x = 2,758.90

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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.