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Finding the Fourth Proportional to 3,263.12, 4,503.84 and 2,738.24

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Solution

The fourth proportional to 3,263.12, 4,503.84 and 2,738.24 is: 3,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.12 : 4,503.84 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    3,263.12/4,503.84 = 2,738.24/x
  3. Step 3: Cross multiply
    3,263.12x = 4,503.84 × 2,738.24
  4. Step 4: Simplify right side
    3,263.12x = 12,332,594.84
  5. Step 5: Solve for x
    x = 12,332,594.84/3,263.12
  6. Step 6: Final answer
    x = 3,779.39

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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.