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Finding the Fourth Proportional to 3,663.12, 5,054.82 and 2,069.91

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Solution

The fourth proportional to 3,663.12, 5,054.82 and 2,069.91 is: 2,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.12 : 5,054.82 = 2,069.91 : x
  2. Step 2: Convert to fraction form
    3,663.12/5,054.82 = 2,069.91/x
  3. Step 3: Cross multiply
    3,663.12x = 5,054.82 × 2,069.91
  4. Step 4: Simplify right side
    3,663.12x = 10,463,014.70
  5. Step 5: Solve for x
    x = 10,463,014.70/3,663.12
  6. Step 6: Final answer
    x = 2,856.31

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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.