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Finding the Fourth Proportional to 6,449.09, 9,672.78 and 2,935.31

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Solution

The fourth proportional to 6,449.09, 9,672.78 and 2,935.31 is: 4,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.09 : 9,672.78 = 2,935.31 : x
  2. Step 2: Convert to fraction form
    6,449.09/9,672.78 = 2,935.31/x
  3. Step 3: Cross multiply
    6,449.09x = 9,672.78 × 2,935.31
  4. Step 4: Simplify right side
    6,449.09x = 28,392,559.50
  5. Step 5: Solve for x
    x = 28,392,559.50/6,449.09
  6. Step 6: Final answer
    x = 4,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.