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Finding the Fourth Proportional to 3,519.46, 4,854.85 and 3,100.82

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Solution

The fourth proportional to 3,519.46, 4,854.85 and 3,100.82 is: 4,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.46 : 4,854.85 = 3,100.82 : x
  2. Step 2: Convert to fraction form
    3,519.46/4,854.85 = 3,100.82/x
  3. Step 3: Cross multiply
    3,519.46x = 4,854.85 × 3,100.82
  4. Step 4: Simplify right side
    3,519.46x = 15,054,015.98
  5. Step 5: Solve for x
    x = 15,054,015.98/3,519.46
  6. Step 6: Final answer
    x = 4,277.37

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