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Finding the Fourth Proportional to 4,694.93, 7,040.96 and 3,243.41

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Solution

The fourth proportional to 4,694.93, 7,040.96 and 3,243.41 is: 4,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.93 : 7,040.96 = 3,243.41 : x
  2. Step 2: Convert to fraction form
    4,694.93/7,040.96 = 3,243.41/x
  3. Step 3: Cross multiply
    4,694.93x = 7,040.96 × 3,243.41
  4. Step 4: Simplify right side
    4,694.93x = 22,836,703.86
  5. Step 5: Solve for x
    x = 22,836,703.86/4,694.93
  6. Step 6: Final answer
    x = 4,864.12

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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.