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Finding the Fourth Proportional to 6,701.60, 9,249.31 and 3,718.39

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Solution

The fourth proportional to 6,701.60, 9,249.31 and 3,718.39 is: 5,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.60 : 9,249.31 = 3,718.39 : x
  2. Step 2: Convert to fraction form
    6,701.60/9,249.31 = 3,718.39/x
  3. Step 3: Cross multiply
    6,701.60x = 9,249.31 × 3,718.39
  4. Step 4: Simplify right side
    6,701.60x = 34,392,571.92
  5. Step 5: Solve for x
    x = 34,392,571.92/6,701.60
  6. Step 6: Final answer
    x = 5,132.00

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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.