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Finding the Fourth Proportional to 3,767.20, 5,650.86 and 994.16

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Solution

The fourth proportional to 3,767.20, 5,650.86 and 994.16 is: 1,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.20 : 5,650.86 = 994.16 : x
  2. Step 2: Convert to fraction form
    3,767.20/5,650.86 = 994.16/x
  3. Step 3: Cross multiply
    3,767.20x = 5,650.86 × 994.16
  4. Step 4: Simplify right side
    3,767.20x = 5,617,830.72
  5. Step 5: Solve for x
    x = 5,617,830.72/3,767.20
  6. Step 6: Final answer
    x = 1,491.25

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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.