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Finding the Fourth Proportional to 3,850.02, 5,776.02 and 1,076.70

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Solution

The fourth proportional to 3,850.02, 5,776.02 and 1,076.70 is: 1,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.02 : 5,776.02 = 1,076.70 : x
  2. Step 2: Convert to fraction form
    3,850.02/5,776.02 = 1,076.70/x
  3. Step 3: Cross multiply
    3,850.02x = 5,776.02 × 1,076.70
  4. Step 4: Simplify right side
    3,850.02x = 6,219,040.73
  5. Step 5: Solve for x
    x = 6,219,040.73/3,850.02
  6. Step 6: Final answer
    x = 1,615.33

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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.