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Finding the Fourth Proportional to 6,471.24, 8,927.67 and 4,080.39

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Solution

The fourth proportional to 6,471.24, 8,927.67 and 4,080.39 is: 5,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.24 : 8,927.67 = 4,080.39 : x
  2. Step 2: Convert to fraction form
    6,471.24/8,927.67 = 4,080.39/x
  3. Step 3: Cross multiply
    6,471.24x = 8,927.67 × 4,080.39
  4. Step 4: Simplify right side
    6,471.24x = 36,428,346.82
  5. Step 5: Solve for x
    x = 36,428,346.82/6,471.24
  6. Step 6: Final answer
    x = 5,629.27

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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.