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Finding the Fourth Proportional to 3,775.45, 5,208.50 and 2,262.17

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Solution

The fourth proportional to 3,775.45, 5,208.50 and 2,262.17 is: 3,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.45 : 5,208.50 = 2,262.17 : x
  2. Step 2: Convert to fraction form
    3,775.45/5,208.50 = 2,262.17/x
  3. Step 3: Cross multiply
    3,775.45x = 5,208.50 × 2,262.17
  4. Step 4: Simplify right side
    3,775.45x = 11,782,512.45
  5. Step 5: Solve for x
    x = 11,782,512.45/3,775.45
  6. Step 6: Final answer
    x = 3,120.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.