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Finding the Fourth Proportional to 6,049.08, 8,351.64 and 4,932.70

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Solution

The fourth proportional to 6,049.08, 8,351.64 and 4,932.70 is: 6,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.08 : 8,351.64 = 4,932.70 : x
  2. Step 2: Convert to fraction form
    6,049.08/8,351.64 = 4,932.70/x
  3. Step 3: Cross multiply
    6,049.08x = 8,351.64 × 4,932.70
  4. Step 4: Simplify right side
    6,049.08x = 41,196,113.75
  5. Step 5: Solve for x
    x = 41,196,113.75/6,049.08
  6. Step 6: Final answer
    x = 6,810.31

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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.