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Finding the Fourth Proportional to 3,762.92, 5,645.09 and 1,683.01

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Solution

The fourth proportional to 3,762.92, 5,645.09 and 1,683.01 is: 2,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.92 : 5,645.09 = 1,683.01 : x
  2. Step 2: Convert to fraction form
    3,762.92/5,645.09 = 1,683.01/x
  3. Step 3: Cross multiply
    3,762.92x = 5,645.09 × 1,683.01
  4. Step 4: Simplify right side
    3,762.92x = 9,500,742.92
  5. Step 5: Solve for x
    x = 9,500,742.92/3,762.92
  6. Step 6: Final answer
    x = 2,524.83

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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.