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Finding the Fourth Proportional to 3,662.94, 5,054.37 and 2,069.58

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Solution

The fourth proportional to 3,662.94, 5,054.37 and 2,069.58 is: 2,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.94 : 5,054.37 = 2,069.58 : x
  2. Step 2: Convert to fraction form
    3,662.94/5,054.37 = 2,069.58/x
  3. Step 3: Cross multiply
    3,662.94x = 5,054.37 × 2,069.58
  4. Step 4: Simplify right side
    3,662.94x = 10,460,423.06
  5. Step 5: Solve for x
    x = 10,460,423.06/3,662.94
  6. Step 6: Final answer
    x = 2,855.75

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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.