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Finding the Fourth Proportional to 3,747.68, 5,171.40 and 2,069.00

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Solution

The fourth proportional to 3,747.68, 5,171.40 and 2,069.00 is: 2,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.68 : 5,171.40 = 2,069.00 : x
  2. Step 2: Convert to fraction form
    3,747.68/5,171.40 = 2,069.00/x
  3. Step 3: Cross multiply
    3,747.68x = 5,171.40 × 2,069.00
  4. Step 4: Simplify right side
    3,747.68x = 10,699,600.74
  5. Step 5: Solve for x
    x = 10,699,600.74/3,747.68
  6. Step 6: Final answer
    x = 2,855.00

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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.