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Finding the Fourth Proportional to 3,895.74, 5,375.91 and 2,127

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Solution

The fourth proportional to 3,895.74, 5,375.91 and 2,127 is: 2,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.74 : 5,375.91 = 2,127 : x
  2. Step 2: Convert to fraction form
    3,895.74/5,375.91 = 2,127/x
  3. Step 3: Cross multiply
    3,895.74x = 5,375.91 × 2,127
  4. Step 4: Simplify right side
    3,895.74x = 11,434,560.57
  5. Step 5: Solve for x
    x = 11,434,560.57/3,895.74
  6. Step 6: Final answer
    x = 2,935.14

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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.