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Finding the Fourth Proportional to 3,850.96, 5,776.95 and 1,253.02

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Solution

The fourth proportional to 3,850.96, 5,776.95 and 1,253.02 is: 1,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.96 : 5,776.95 = 1,253.02 : x
  2. Step 2: Convert to fraction form
    3,850.96/5,776.95 = 1,253.02/x
  3. Step 3: Cross multiply
    3,850.96x = 5,776.95 × 1,253.02
  4. Step 4: Simplify right side
    3,850.96x = 7,238,633.89
  5. Step 5: Solve for x
    x = 7,238,633.89/3,850.96
  6. Step 6: Final answer
    x = 1,879.70

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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.