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Finding the Fourth Proportional to 3,853.36, 5,323.08 and 3,066.40

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Solution

The fourth proportional to 3,853.36, 5,323.08 and 3,066.40 is: 4,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.36 : 5,323.08 = 3,066.40 : x
  2. Step 2: Convert to fraction form
    3,853.36/5,323.08 = 3,066.40/x
  3. Step 3: Cross multiply
    3,853.36x = 5,323.08 × 3,066.40
  4. Step 4: Simplify right side
    3,853.36x = 16,322,692.51
  5. Step 5: Solve for x
    x = 16,322,692.51/3,853.36
  6. Step 6: Final answer
    x = 4,235.96

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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.