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Finding the Fourth Proportional to 3,705.81, 5,557.74 and 1,072.69

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Solution

The fourth proportional to 3,705.81, 5,557.74 and 1,072.69 is: 1,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.81 : 5,557.74 = 1,072.69 : x
  2. Step 2: Convert to fraction form
    3,705.81/5,557.74 = 1,072.69/x
  3. Step 3: Cross multiply
    3,705.81x = 5,557.74 × 1,072.69
  4. Step 4: Simplify right side
    3,705.81x = 5,961,732.12
  5. Step 5: Solve for x
    x = 5,961,732.12/3,705.81
  6. Step 6: Final answer
    x = 1,608.75

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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.