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Finding the Fourth Proportional to 2,796.30, 3,861.65 and 2,533.86

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Solution

The fourth proportional to 2,796.30, 3,861.65 and 2,533.86 is: 3,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.30 : 3,861.65 = 2,533.86 : x
  2. Step 2: Convert to fraction form
    2,796.30/3,861.65 = 2,533.86/x
  3. Step 3: Cross multiply
    2,796.30x = 3,861.65 × 2,533.86
  4. Step 4: Simplify right side
    2,796.30x = 9,784,880.47
  5. Step 5: Solve for x
    x = 9,784,880.47/2,796.30
  6. Step 6: Final answer
    x = 3,499.22

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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.