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Finding the Fourth Proportional to 3,662.59, 5,054.82 and 2,069.31

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Solution

The fourth proportional to 3,662.59, 5,054.82 and 2,069.31 is: 2,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.59 : 5,054.82 = 2,069.31 : x
  2. Step 2: Convert to fraction form
    3,662.59/5,054.82 = 2,069.31/x
  3. Step 3: Cross multiply
    3,662.59x = 5,054.82 × 2,069.31
  4. Step 4: Simplify right side
    3,662.59x = 10,459,989.57
  5. Step 5: Solve for x
    x = 10,459,989.57/3,662.59
  6. Step 6: Final answer
    x = 2,855.90

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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.