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Finding the Fourth Proportional to 6,057.86, 8,362.70 and 4,044.65

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Solution

The fourth proportional to 6,057.86, 8,362.70 and 4,044.65 is: 5,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.86 : 8,362.70 = 4,044.65 : x
  2. Step 2: Convert to fraction form
    6,057.86/8,362.70 = 4,044.65/x
  3. Step 3: Cross multiply
    6,057.86x = 8,362.70 × 4,044.65
  4. Step 4: Simplify right side
    6,057.86x = 33,824,132.52
  5. Step 5: Solve for x
    x = 33,824,132.52/6,057.86
  6. Step 6: Final answer
    x = 5,583.52

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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.