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Finding the Fourth Proportional to 3,851.12, 5,776.05 and 1,385.48

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Solution

The fourth proportional to 3,851.12, 5,776.05 and 1,385.48 is: 2,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.12 : 5,776.05 = 1,385.48 : x
  2. Step 2: Convert to fraction form
    3,851.12/5,776.05 = 1,385.48/x
  3. Step 3: Cross multiply
    3,851.12x = 5,776.05 × 1,385.48
  4. Step 4: Simplify right side
    3,851.12x = 8,002,594.83
  5. Step 5: Solve for x
    x = 8,002,594.83/3,851.12
  6. Step 6: Final answer
    x = 2,077.99

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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.