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Finding the Fourth Proportional to 3,851.36, 5,777 and 929.64

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Solution

The fourth proportional to 3,851.36, 5,777 and 929.64 is: 1,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.36 : 5,777 = 929.64 : x
  2. Step 2: Convert to fraction form
    3,851.36/5,777 = 929.64/x
  3. Step 3: Cross multiply
    3,851.36x = 5,777 × 929.64
  4. Step 4: Simplify right side
    3,851.36x = 5,370,530.28
  5. Step 5: Solve for x
    x = 5,370,530.28/3,851.36
  6. Step 6: Final answer
    x = 1,394.45

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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.