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Finding the Fourth Proportional to 4,694.43, 6,478.10 and 2,705.28

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Solution

The fourth proportional to 4,694.43, 6,478.10 and 2,705.28 is: 3,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.43 : 6,478.10 = 2,705.28 : x
  2. Step 2: Convert to fraction form
    4,694.43/6,478.10 = 2,705.28/x
  3. Step 3: Cross multiply
    4,694.43x = 6,478.10 × 2,705.28
  4. Step 4: Simplify right side
    4,694.43x = 17,525,074.37
  5. Step 5: Solve for x
    x = 17,525,074.37/4,694.43
  6. Step 6: Final answer
    x = 3,733.16

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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.