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Finding the Fourth Proportional to 5,563.65, 8,346.06 and 2,276.22

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Solution

The fourth proportional to 5,563.65, 8,346.06 and 2,276.22 is: 3,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.65 : 8,346.06 = 2,276.22 : x
  2. Step 2: Convert to fraction form
    5,563.65/8,346.06 = 2,276.22/x
  3. Step 3: Cross multiply
    5,563.65x = 8,346.06 × 2,276.22
  4. Step 4: Simplify right side
    5,563.65x = 18,997,468.69
  5. Step 5: Solve for x
    x = 18,997,468.69/5,563.65
  6. Step 6: Final answer
    x = 3,414.57

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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.