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Finding the Fourth Proportional to 4,694.25, 6,477.51 and 2,705.46

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Solution

The fourth proportional to 4,694.25, 6,477.51 and 2,705.46 is: 3,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.25 : 6,477.51 = 2,705.46 : x
  2. Step 2: Convert to fraction form
    4,694.25/6,477.51 = 2,705.46/x
  3. Step 3: Cross multiply
    4,694.25x = 6,477.51 × 2,705.46
  4. Step 4: Simplify right side
    4,694.25x = 17,524,644.20
  5. Step 5: Solve for x
    x = 17,524,644.20/4,694.25
  6. Step 6: Final answer
    x = 3,733.21

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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.