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Finding the Fourth Proportional to 4,694.32, 6,479.22 and 2,705.24

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Solution

The fourth proportional to 4,694.32, 6,479.22 and 2,705.24 is: 3,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.32 : 6,479.22 = 2,705.24 : x
  2. Step 2: Convert to fraction form
    4,694.32/6,479.22 = 2,705.24/x
  3. Step 3: Cross multiply
    4,694.32x = 6,479.22 × 2,705.24
  4. Step 4: Simplify right side
    4,694.32x = 17,527,845.11
  5. Step 5: Solve for x
    x = 17,527,845.11/4,694.32
  6. Step 6: Final answer
    x = 3,733.84

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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.