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Finding the Fourth Proportional to 3,657.82, 5,047.80 and 2,064.81

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Solution

The fourth proportional to 3,657.82, 5,047.80 and 2,064.81 is: 2,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.82 : 5,047.80 = 2,064.81 : x
  2. Step 2: Convert to fraction form
    3,657.82/5,047.80 = 2,064.81/x
  3. Step 3: Cross multiply
    3,657.82x = 5,047.80 × 2,064.81
  4. Step 4: Simplify right side
    3,657.82x = 10,422,747.92
  5. Step 5: Solve for x
    x = 10,422,747.92/3,657.82
  6. Step 6: Final answer
    x = 2,849.44

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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.