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Finding the Fourth Proportional to 3,662.85, 5,054.43 and 2,069.63

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Solution

The fourth proportional to 3,662.85, 5,054.43 and 2,069.63 is: 2,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.85 : 5,054.43 = 2,069.63 : x
  2. Step 2: Convert to fraction form
    3,662.85/5,054.43 = 2,069.63/x
  3. Step 3: Cross multiply
    3,662.85x = 5,054.43 × 2,069.63
  4. Step 4: Simplify right side
    3,662.85x = 10,460,798.16
  5. Step 5: Solve for x
    x = 10,460,798.16/3,662.85
  6. Step 6: Final answer
    x = 2,855.92

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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.