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Finding the Fourth Proportional to 3,851.40, 5,777.90 and 1,254.12

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Solution

The fourth proportional to 3,851.40, 5,777.90 and 1,254.12 is: 1,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.40 : 5,777.90 = 1,254.12 : x
  2. Step 2: Convert to fraction form
    3,851.40/5,777.90 = 1,254.12/x
  3. Step 3: Cross multiply
    3,851.40x = 5,777.90 × 1,254.12
  4. Step 4: Simplify right side
    3,851.40x = 7,246,179.95
  5. Step 5: Solve for x
    x = 7,246,179.95/3,851.40
  6. Step 6: Final answer
    x = 1,881.44

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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.