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Finding the Fourth Proportional to 5,427.81, 8,102.43 and 5,022

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Solution

The fourth proportional to 5,427.81, 8,102.43 and 5,022 is: 7,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.81 : 8,102.43 = 5,022 : x
  2. Step 2: Convert to fraction form
    5,427.81/8,102.43 = 5,022/x
  3. Step 3: Cross multiply
    5,427.81x = 8,102.43 × 5,022
  4. Step 4: Simplify right side
    5,427.81x = 40,690,403.46
  5. Step 5: Solve for x
    x = 40,690,403.46/5,427.81
  6. Step 6: Final answer
    x = 7,496.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.