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Finding the Fourth Proportional to 3,767.57, 5,651.86 and 1,395.33

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Solution

The fourth proportional to 3,767.57, 5,651.86 and 1,395.33 is: 2,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.57 : 5,651.86 = 1,395.33 : x
  2. Step 2: Convert to fraction form
    3,767.57/5,651.86 = 1,395.33/x
  3. Step 3: Cross multiply
    3,767.57x = 5,651.86 × 1,395.33
  4. Step 4: Simplify right side
    3,767.57x = 7,886,209.81
  5. Step 5: Solve for x
    x = 7,886,209.81/3,767.57
  6. Step 6: Final answer
    x = 2,093.18

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Why These Related Problems?

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