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Finding the Fourth Proportional to 3,851.95, 5,777.02 and 1,253.47

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Solution

The fourth proportional to 3,851.95, 5,777.02 and 1,253.47 is: 1,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.95 : 5,777.02 = 1,253.47 : x
  2. Step 2: Convert to fraction form
    3,851.95/5,777.02 = 1,253.47/x
  3. Step 3: Cross multiply
    3,851.95x = 5,777.02 × 1,253.47
  4. Step 4: Simplify right side
    3,851.95x = 7,241,321.26
  5. Step 5: Solve for x
    x = 7,241,321.26/3,851.95
  6. Step 6: Final answer
    x = 1,879.91

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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.