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Finding the Fourth Proportional to 4,937.62, 6,814.06 and 2,699.63

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Solution

The fourth proportional to 4,937.62, 6,814.06 and 2,699.63 is: 3,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.62 : 6,814.06 = 2,699.63 : x
  2. Step 2: Convert to fraction form
    4,937.62/6,814.06 = 2,699.63/x
  3. Step 3: Cross multiply
    4,937.62x = 6,814.06 × 2,699.63
  4. Step 4: Simplify right side
    4,937.62x = 18,395,440.80
  5. Step 5: Solve for x
    x = 18,395,440.80/4,937.62
  6. Step 6: Final answer
    x = 3,725.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.