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Finding the Fourth Proportional to 5,109.32, 7,662.36 and 1,989.12

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Solution

The fourth proportional to 5,109.32, 7,662.36 and 1,989.12 is: 2,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.32 : 7,662.36 = 1,989.12 : x
  2. Step 2: Convert to fraction form
    5,109.32/7,662.36 = 1,989.12/x
  3. Step 3: Cross multiply
    5,109.32x = 7,662.36 × 1,989.12
  4. Step 4: Simplify right side
    5,109.32x = 15,241,353.52
  5. Step 5: Solve for x
    x = 15,241,353.52/5,109.32
  6. Step 6: Final answer
    x = 2,983.05

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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.