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Finding the Fourth Proportional to 3,767.60, 5,199.39 and 2,275.78

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Solution

The fourth proportional to 3,767.60, 5,199.39 and 2,275.78 is: 3,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.60 : 5,199.39 = 2,275.78 : x
  2. Step 2: Convert to fraction form
    3,767.60/5,199.39 = 2,275.78/x
  3. Step 3: Cross multiply
    3,767.60x = 5,199.39 × 2,275.78
  4. Step 4: Simplify right side
    3,767.60x = 11,832,658.43
  5. Step 5: Solve for x
    x = 11,832,658.43/3,767.60
  6. Step 6: Final answer
    x = 3,140.64

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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.