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Finding the Fourth Proportional to 3,851.54, 5,777.76 and 1,254.47

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Solution

The fourth proportional to 3,851.54, 5,777.76 and 1,254.47 is: 1,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.54 : 5,777.76 = 1,254.47 : x
  2. Step 2: Convert to fraction form
    3,851.54/5,777.76 = 1,254.47/x
  3. Step 3: Cross multiply
    3,851.54x = 5,777.76 × 1,254.47
  4. Step 4: Simplify right side
    3,851.54x = 7,247,997.70
  5. Step 5: Solve for x
    x = 7,247,997.70/3,851.54
  6. Step 6: Final answer
    x = 1,881.85

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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.