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Finding the Fourth Proportional to 3,895.50, 5,375.64 and 2,127.06

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Solution

The fourth proportional to 3,895.50, 5,375.64 and 2,127.06 is: 2,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.50 : 5,375.64 = 2,127.06 : x
  2. Step 2: Convert to fraction form
    3,895.50/5,375.64 = 2,127.06/x
  3. Step 3: Cross multiply
    3,895.50x = 5,375.64 × 2,127.06
  4. Step 4: Simplify right side
    3,895.50x = 11,434,308.82
  5. Step 5: Solve for x
    x = 11,434,308.82/3,895.50
  6. Step 6: Final answer
    x = 2,935.26

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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.