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Finding the Fourth Proportional to 3,551.96, 5,327.90 and 919.23

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Solution

The fourth proportional to 3,551.96, 5,327.90 and 919.23 is: 1,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.96 : 5,327.90 = 919.23 : x
  2. Step 2: Convert to fraction form
    3,551.96/5,327.90 = 919.23/x
  3. Step 3: Cross multiply
    3,551.96x = 5,327.90 × 919.23
  4. Step 4: Simplify right side
    3,551.96x = 4,897,565.52
  5. Step 5: Solve for x
    x = 4,897,565.52/3,551.96
  6. Step 6: Final answer
    x = 1,378.83

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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.