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Finding the Fourth Proportional to 3,851.53, 5,776.27 and 1,078.03

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Solution

The fourth proportional to 3,851.53, 5,776.27 and 1,078.03 is: 1,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.53 : 5,776.27 = 1,078.03 : x
  2. Step 2: Convert to fraction form
    3,851.53/5,776.27 = 1,078.03/x
  3. Step 3: Cross multiply
    3,851.53x = 5,776.27 × 1,078.03
  4. Step 4: Simplify right side
    3,851.53x = 6,226,992.35
  5. Step 5: Solve for x
    x = 6,226,992.35/3,851.53
  6. Step 6: Final answer
    x = 1,616.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.