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Finding the Fourth Proportional to 3,853.61, 5,318.02 and 2,261.20

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Solution

The fourth proportional to 3,853.61, 5,318.02 and 2,261.20 is: 3,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.61 : 5,318.02 = 2,261.20 : x
  2. Step 2: Convert to fraction form
    3,853.61/5,318.02 = 2,261.20/x
  3. Step 3: Cross multiply
    3,853.61x = 5,318.02 × 2,261.20
  4. Step 4: Simplify right side
    3,853.61x = 12,025,106.82
  5. Step 5: Solve for x
    x = 12,025,106.82/3,853.61
  6. Step 6: Final answer
    x = 3,120.48

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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.