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Finding the Fourth Proportional to 3,705.40, 5,555.22 and 1,759.96

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Solution

The fourth proportional to 3,705.40, 5,555.22 and 1,759.96 is: 2,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.40 : 5,555.22 = 1,759.96 : x
  2. Step 2: Convert to fraction form
    3,705.40/5,555.22 = 1,759.96/x
  3. Step 3: Cross multiply
    3,705.40x = 5,555.22 × 1,759.96
  4. Step 4: Simplify right side
    3,705.40x = 9,776,964.99
  5. Step 5: Solve for x
    x = 9,776,964.99/3,705.40
  6. Step 6: Final answer
    x = 2,638.57

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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.