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Finding the Fourth Proportional to 4,257.44, 6,345.92 and 4,049.48

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Solution

The fourth proportional to 4,257.44, 6,345.92 and 4,049.48 is: 6,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.44 : 6,345.92 = 4,049.48 : x
  2. Step 2: Convert to fraction form
    4,257.44/6,345.92 = 4,049.48/x
  3. Step 3: Cross multiply
    4,257.44x = 6,345.92 × 4,049.48
  4. Step 4: Simplify right side
    4,257.44x = 25,697,655.87
  5. Step 5: Solve for x
    x = 25,697,655.87/4,257.44
  6. Step 6: Final answer
    x = 6,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.