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Finding the Fourth Proportional to 6,710.31, 9,260.39 and 3,726

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Solution

The fourth proportional to 6,710.31, 9,260.39 and 3,726 is: 5,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.31 : 9,260.39 = 3,726 : x
  2. Step 2: Convert to fraction form
    6,710.31/9,260.39 = 3,726/x
  3. Step 3: Cross multiply
    6,710.31x = 9,260.39 × 3,726
  4. Step 4: Simplify right side
    6,710.31x = 34,504,222.46
  5. Step 5: Solve for x
    x = 34,504,222.46/6,710.31
  6. Step 6: Final answer
    x = 5,141.97

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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.