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Finding the Fourth Proportional to 3,850.02, 5,775.20 and 1,351.23

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Solution

The fourth proportional to 3,850.02, 5,775.20 and 1,351.23 is: 2,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.02 : 5,775.20 = 1,351.23 : x
  2. Step 2: Convert to fraction form
    3,850.02/5,775.20 = 1,351.23/x
  3. Step 3: Cross multiply
    3,850.02x = 5,775.20 × 1,351.23
  4. Step 4: Simplify right side
    3,850.02x = 7,803,623.50
  5. Step 5: Solve for x
    x = 7,803,623.50/3,850.02
  6. Step 6: Final answer
    x = 2,026.90

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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.