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Finding the Fourth Proportional to 3,747.60, 5,171.63 and 2,069.07

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Solution

The fourth proportional to 3,747.60, 5,171.63 and 2,069.07 is: 2,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.60 : 5,171.63 = 2,069.07 : x
  2. Step 2: Convert to fraction form
    3,747.60/5,171.63 = 2,069.07/x
  3. Step 3: Cross multiply
    3,747.60x = 5,171.63 × 2,069.07
  4. Step 4: Simplify right side
    3,747.60x = 10,700,464.48
  5. Step 5: Solve for x
    x = 10,700,464.48/3,747.60
  6. Step 6: Final answer
    x = 2,855.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.