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Finding the Fourth Proportional to 3,851.34, 5,776.47 and 1,385.79

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Solution

The fourth proportional to 3,851.34, 5,776.47 and 1,385.79 is: 2,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.34 : 5,776.47 = 1,385.79 : x
  2. Step 2: Convert to fraction form
    3,851.34/5,776.47 = 1,385.79/x
  3. Step 3: Cross multiply
    3,851.34x = 5,776.47 × 1,385.79
  4. Step 4: Simplify right side
    3,851.34x = 8,004,974.36
  5. Step 5: Solve for x
    x = 8,004,974.36/3,851.34
  6. Step 6: Final answer
    x = 2,078.49

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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.