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Finding the Fourth Proportional to 3,789.30, 5,683.92 and 1,015.90

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Solution

The fourth proportional to 3,789.30, 5,683.92 and 1,015.90 is: 1,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.30 : 5,683.92 = 1,015.90 : x
  2. Step 2: Convert to fraction form
    3,789.30/5,683.92 = 1,015.90/x
  3. Step 3: Cross multiply
    3,789.30x = 5,683.92 × 1,015.90
  4. Step 4: Simplify right side
    3,789.30x = 5,774,294.33
  5. Step 5: Solve for x
    x = 5,774,294.33/3,789.30
  6. Step 6: Final answer
    x = 1,523.84

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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.