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Finding the Fourth Proportional to 3,805.64, 5,251.67 and 2,127.05

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Solution

The fourth proportional to 3,805.64, 5,251.67 and 2,127.05 is: 2,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.64 : 5,251.67 = 2,127.05 : x
  2. Step 2: Convert to fraction form
    3,805.64/5,251.67 = 2,127.05/x
  3. Step 3: Cross multiply
    3,805.64x = 5,251.67 × 2,127.05
  4. Step 4: Simplify right side
    3,805.64x = 11,170,596.96
  5. Step 5: Solve for x
    x = 11,170,596.96/3,805.64
  6. Step 6: Final answer
    x = 2,935.28

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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.