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Finding the Fourth Proportional to 6,189.68, 8,537.00 and 4,301.24

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Solution

The fourth proportional to 6,189.68, 8,537.00 and 4,301.24 is: 5,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.68 : 8,537.00 = 4,301.24 : x
  2. Step 2: Convert to fraction form
    6,189.68/8,537.00 = 4,301.24/x
  3. Step 3: Cross multiply
    6,189.68x = 8,537.00 × 4,301.24
  4. Step 4: Simplify right side
    6,189.68x = 36,719,621.69
  5. Step 5: Solve for x
    x = 36,719,621.69/6,189.68
  6. Step 6: Final answer
    x = 5,932.39

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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.