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Finding the Fourth Proportional to 3,895.78, 5,376.10 and 2,127.40

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Solution

The fourth proportional to 3,895.78, 5,376.10 and 2,127.40 is: 2,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.78 : 5,376.10 = 2,127.40 : x
  2. Step 2: Convert to fraction form
    3,895.78/5,376.10 = 2,127.40/x
  3. Step 3: Cross multiply
    3,895.78x = 5,376.10 × 2,127.40
  4. Step 4: Simplify right side
    3,895.78x = 11,437,096.38
  5. Step 5: Solve for x
    x = 11,437,096.38/3,895.78
  6. Step 6: Final answer
    x = 2,935.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.