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Finding the Fourth Proportional to 4,624.97, 6,940.19 and 1,705.32

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Solution

The fourth proportional to 4,624.97, 6,940.19 and 1,705.32 is: 2,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.97 : 6,940.19 = 1,705.32 : x
  2. Step 2: Convert to fraction form
    4,624.97/6,940.19 = 1,705.32/x
  3. Step 3: Cross multiply
    4,624.97x = 6,940.19 × 1,705.32
  4. Step 4: Simplify right side
    4,624.97x = 11,835,249.07
  5. Step 5: Solve for x
    x = 11,835,249.07/4,624.97
  6. Step 6: Final answer
    x = 2,558.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.