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Finding the Fourth Proportional to 6,057.72, 8,357.10 and 4,068.92

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Solution

The fourth proportional to 6,057.72, 8,357.10 and 4,068.92 is: 5,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.72 : 8,357.10 = 4,068.92 : x
  2. Step 2: Convert to fraction form
    6,057.72/8,357.10 = 4,068.92/x
  3. Step 3: Cross multiply
    6,057.72x = 8,357.10 × 4,068.92
  4. Step 4: Simplify right side
    6,057.72x = 34,004,371.33
  5. Step 5: Solve for x
    x = 34,004,371.33/6,057.72
  6. Step 6: Final answer
    x = 5,613.39

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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.