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Finding the Fourth Proportional to 3,635.54, 5,013.86 and 2,794.76

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Solution

The fourth proportional to 3,635.54, 5,013.86 and 2,794.76 is: 3,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.54 : 5,013.86 = 2,794.76 : x
  2. Step 2: Convert to fraction form
    3,635.54/5,013.86 = 2,794.76/x
  3. Step 3: Cross multiply
    3,635.54x = 5,013.86 × 2,794.76
  4. Step 4: Simplify right side
    3,635.54x = 14,012,535.37
  5. Step 5: Solve for x
    x = 14,012,535.37/3,635.54
  6. Step 6: Final answer
    x = 3,854.32

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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.