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Finding the Fourth Proportional to 2,713.86, 3,747.03 and 2,396.70

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Solution

The fourth proportional to 2,713.86, 3,747.03 and 2,396.70 is: 3,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.86 : 3,747.03 = 2,396.70 : x
  2. Step 2: Convert to fraction form
    2,713.86/3,747.03 = 2,396.70/x
  3. Step 3: Cross multiply
    2,713.86x = 3,747.03 × 2,396.70
  4. Step 4: Simplify right side
    2,713.86x = 8,980,506.80
  5. Step 5: Solve for x
    x = 8,980,506.80/2,713.86
  6. Step 6: Final answer
    x = 3,309.13

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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.