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Finding the Fourth Proportional to 3,449.58, 4,759.29 and 1,956.96

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Solution

The fourth proportional to 3,449.58, 4,759.29 and 1,956.96 is: 2,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.58 : 4,759.29 = 1,956.96 : x
  2. Step 2: Convert to fraction form
    3,449.58/4,759.29 = 1,956.96/x
  3. Step 3: Cross multiply
    3,449.58x = 4,759.29 × 1,956.96
  4. Step 4: Simplify right side
    3,449.58x = 9,313,740.16
  5. Step 5: Solve for x
    x = 9,313,740.16/3,449.58
  6. Step 6: Final answer
    x = 2,699.96

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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.