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Finding the Fourth Proportional to 3,683.54, 5,521.23 and 1,491.62

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Solution

The fourth proportional to 3,683.54, 5,521.23 and 1,491.62 is: 2,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.54 : 5,521.23 = 1,491.62 : x
  2. Step 2: Convert to fraction form
    3,683.54/5,521.23 = 1,491.62/x
  3. Step 3: Cross multiply
    3,683.54x = 5,521.23 × 1,491.62
  4. Step 4: Simplify right side
    3,683.54x = 8,235,577.09
  5. Step 5: Solve for x
    x = 8,235,577.09/3,683.54
  6. Step 6: Final answer
    x = 2,235.78

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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.