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Finding the Fourth Proportional to 4,694.96, 6,479.29 and 2,705.70

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Solution

The fourth proportional to 4,694.96, 6,479.29 and 2,705.70 is: 3,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.96 : 6,479.29 = 2,705.70 : x
  2. Step 2: Convert to fraction form
    4,694.96/6,479.29 = 2,705.70/x
  3. Step 3: Cross multiply
    4,694.96x = 6,479.29 × 2,705.70
  4. Step 4: Simplify right side
    4,694.96x = 17,531,042.63
  5. Step 5: Solve for x
    x = 17,531,042.63/4,694.96
  6. Step 6: Final answer
    x = 3,734.01

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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.