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Finding the Fourth Proportional to 4,937.71, 6,813.67 and 2,699.63

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Solution

The fourth proportional to 4,937.71, 6,813.67 and 2,699.63 is: 3,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.71 : 6,813.67 = 2,699.63 : x
  2. Step 2: Convert to fraction form
    4,937.71/6,813.67 = 2,699.63/x
  3. Step 3: Cross multiply
    4,937.71x = 6,813.67 × 2,699.63
  4. Step 4: Simplify right side
    4,937.71x = 18,394,377.74
  5. Step 5: Solve for x
    x = 18,394,377.74/4,937.71
  6. Step 6: Final answer
    x = 3,725.29

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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.