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Finding the Fourth Proportional to 3,775.75, 5,665.56 and 1,556.22

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Solution

The fourth proportional to 3,775.75, 5,665.56 and 1,556.22 is: 2,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.75 : 5,665.56 = 1,556.22 : x
  2. Step 2: Convert to fraction form
    3,775.75/5,665.56 = 1,556.22/x
  3. Step 3: Cross multiply
    3,775.75x = 5,665.56 × 1,556.22
  4. Step 4: Simplify right side
    3,775.75x = 8,816,866.01
  5. Step 5: Solve for x
    x = 8,816,866.01/3,775.75
  6. Step 6: Final answer
    x = 2,335.13

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