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Finding the Fourth Proportional to 3,101.50, 4,267.52 and 2,993.77

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Solution

The fourth proportional to 3,101.50, 4,267.52 and 2,993.77 is: 4,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.50 : 4,267.52 = 2,993.77 : x
  2. Step 2: Convert to fraction form
    3,101.50/4,267.52 = 2,993.77/x
  3. Step 3: Cross multiply
    3,101.50x = 4,267.52 × 2,993.77
  4. Step 4: Simplify right side
    3,101.50x = 12,775,958.38
  5. Step 5: Solve for x
    x = 12,775,958.38/3,101.50
  6. Step 6: Final answer
    x = 4,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.