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Finding the Fourth Proportional to 3,775.76, 5,666.06 and 1,467.26

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Solution

The fourth proportional to 3,775.76, 5,666.06 and 1,467.26 is: 2,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.76 : 5,666.06 = 1,467.26 : x
  2. Step 2: Convert to fraction form
    3,775.76/5,666.06 = 1,467.26/x
  3. Step 3: Cross multiply
    3,775.76x = 5,666.06 × 1,467.26
  4. Step 4: Simplify right side
    3,775.76x = 8,313,583.20
  5. Step 5: Solve for x
    x = 8,313,583.20/3,775.76
  6. Step 6: Final answer
    x = 2,201.83

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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.