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Finding the Fourth Proportional to 3,838.14, 5,757.24 and 1,064.76

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Solution

The fourth proportional to 3,838.14, 5,757.24 and 1,064.76 is: 1,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.14 : 5,757.24 = 1,064.76 : x
  2. Step 2: Convert to fraction form
    3,838.14/5,757.24 = 1,064.76/x
  3. Step 3: Cross multiply
    3,838.14x = 5,757.24 × 1,064.76
  4. Step 4: Simplify right side
    3,838.14x = 6,130,078.86
  5. Step 5: Solve for x
    x = 6,130,078.86/3,838.14
  6. Step 6: Final answer
    x = 1,597.15

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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.