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Finding the Fourth Proportional to 4,937.88, 6,814.38 and 2,699.76

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Solution

The fourth proportional to 4,937.88, 6,814.38 and 2,699.76 is: 3,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.88 : 6,814.38 = 2,699.76 : x
  2. Step 2: Convert to fraction form
    4,937.88/6,814.38 = 2,699.76/x
  3. Step 3: Cross multiply
    4,937.88x = 6,814.38 × 2,699.76
  4. Step 4: Simplify right side
    4,937.88x = 18,397,190.55
  5. Step 5: Solve for x
    x = 18,397,190.55/4,937.88
  6. Step 6: Final answer
    x = 3,725.73

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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.