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Finding the Fourth Proportional to 5,327.28, 7,994.76 and 2,041.20

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Solution

The fourth proportional to 5,327.28, 7,994.76 and 2,041.20 is: 3,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.28 : 7,994.76 = 2,041.20 : x
  2. Step 2: Convert to fraction form
    5,327.28/7,994.76 = 2,041.20/x
  3. Step 3: Cross multiply
    5,327.28x = 7,994.76 × 2,041.20
  4. Step 4: Simplify right side
    5,327.28x = 16,318,904.11
  5. Step 5: Solve for x
    x = 16,318,904.11/5,327.28
  6. Step 6: Final answer
    x = 3,063.27

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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.