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Finding the Fourth Proportional to 5,174.67, 7,141.01 and 2,816.81

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Solution

The fourth proportional to 5,174.67, 7,141.01 and 2,816.81 is: 3,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.67 : 7,141.01 = 2,816.81 : x
  2. Step 2: Convert to fraction form
    5,174.67/7,141.01 = 2,816.81/x
  3. Step 3: Cross multiply
    5,174.67x = 7,141.01 × 2,816.81
  4. Step 4: Simplify right side
    5,174.67x = 20,114,868.38
  5. Step 5: Solve for x
    x = 20,114,868.38/5,174.67
  6. Step 6: Final answer
    x = 3,887.18

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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.