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Finding the Fourth Proportional to 3,850.74, 5,767.47 and 2,385.72

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Solution

The fourth proportional to 3,850.74, 5,767.47 and 2,385.72 is: 3,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.74 : 5,767.47 = 2,385.72 : x
  2. Step 2: Convert to fraction form
    3,850.74/5,767.47 = 2,385.72/x
  3. Step 3: Cross multiply
    3,850.74x = 5,767.47 × 2,385.72
  4. Step 4: Simplify right side
    3,850.74x = 13,759,568.53
  5. Step 5: Solve for x
    x = 13,759,568.53/3,850.74
  6. Step 6: Final answer
    x = 3,573.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.