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Finding the Fourth Proportional to 3,851.87, 5,777.34 and 1,078.74

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Solution

The fourth proportional to 3,851.87, 5,777.34 and 1,078.74 is: 1,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.87 : 5,777.34 = 1,078.74 : x
  2. Step 2: Convert to fraction form
    3,851.87/5,777.34 = 1,078.74/x
  3. Step 3: Cross multiply
    3,851.87x = 5,777.34 × 1,078.74
  4. Step 4: Simplify right side
    3,851.87x = 6,232,247.75
  5. Step 5: Solve for x
    x = 6,232,247.75/3,851.87
  6. Step 6: Final answer
    x = 1,617.98

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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.