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Finding the Fourth Proportional to 3,786.54, 5,679.81 and 1,477.50

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Solution

The fourth proportional to 3,786.54, 5,679.81 and 1,477.50 is: 2,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.54 : 5,679.81 = 1,477.50 : x
  2. Step 2: Convert to fraction form
    3,786.54/5,679.81 = 1,477.50/x
  3. Step 3: Cross multiply
    3,786.54x = 5,679.81 × 1,477.50
  4. Step 4: Simplify right side
    3,786.54x = 8,391,919.28
  5. Step 5: Solve for x
    x = 8,391,919.28/3,786.54
  6. Step 6: Final answer
    x = 2,216.25

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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.