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Finding the Fourth Proportional to 3,507.57, 5,252.78 and 2,271.27

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Solution

The fourth proportional to 3,507.57, 5,252.78 and 2,271.27 is: 3,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.57 : 5,252.78 = 2,271.27 : x
  2. Step 2: Convert to fraction form
    3,507.57/5,252.78 = 2,271.27/x
  3. Step 3: Cross multiply
    3,507.57x = 5,252.78 × 2,271.27
  4. Step 4: Simplify right side
    3,507.57x = 11,930,470.27
  5. Step 5: Solve for x
    x = 11,930,470.27/3,507.57
  6. Step 6: Final answer
    x = 3,401.35

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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.