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Finding the Fourth Proportional to 5,816.38, 8,024.03 and 3,876.53

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Solution

The fourth proportional to 5,816.38, 8,024.03 and 3,876.53 is: 5,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.38 : 8,024.03 = 3,876.53 : x
  2. Step 2: Convert to fraction form
    5,816.38/8,024.03 = 3,876.53/x
  3. Step 3: Cross multiply
    5,816.38x = 8,024.03 × 3,876.53
  4. Step 4: Simplify right side
    5,816.38x = 31,105,393.02
  5. Step 5: Solve for x
    x = 31,105,393.02/5,816.38
  6. Step 6: Final answer
    x = 5,347.90

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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.