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Finding the Fourth Proportional to 3,807.66, 5,711.97 and 1,467.60

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Solution

The fourth proportional to 3,807.66, 5,711.97 and 1,467.60 is: 2,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.66 : 5,711.97 = 1,467.60 : x
  2. Step 2: Convert to fraction form
    3,807.66/5,711.97 = 1,467.60/x
  3. Step 3: Cross multiply
    3,807.66x = 5,711.97 × 1,467.60
  4. Step 4: Simplify right side
    3,807.66x = 8,382,887.17
  5. Step 5: Solve for x
    x = 8,382,887.17/3,807.66
  6. Step 6: Final answer
    x = 2,201.59

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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.