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Finding the Fourth Proportional to 3,767.09, 5,196.65 and 2,274.47

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Solution

The fourth proportional to 3,767.09, 5,196.65 and 2,274.47 is: 3,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.09 : 5,196.65 = 2,274.47 : x
  2. Step 2: Convert to fraction form
    3,767.09/5,196.65 = 2,274.47/x
  3. Step 3: Cross multiply
    3,767.09x = 5,196.65 × 2,274.47
  4. Step 4: Simplify right side
    3,767.09x = 11,819,587.17
  5. Step 5: Solve for x
    x = 11,819,587.17/3,767.09
  6. Step 6: Final answer
    x = 3,137.60

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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.