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Finding the Fourth Proportional to 4,011.96, 5,533.20 and 3,069.12

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Solution

The fourth proportional to 4,011.96, 5,533.20 and 3,069.12 is: 4,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.96 : 5,533.20 = 3,069.12 : x
  2. Step 2: Convert to fraction form
    4,011.96/5,533.20 = 3,069.12/x
  3. Step 3: Cross multiply
    4,011.96x = 5,533.20 × 3,069.12
  4. Step 4: Simplify right side
    4,011.96x = 16,982,054.78
  5. Step 5: Solve for x
    x = 16,982,054.78/4,011.96
  6. Step 6: Final answer
    x = 4,232.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.