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Finding the Fourth Proportional to 3,840.28, 5,296.32 and 3,094

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Solution

The fourth proportional to 3,840.28, 5,296.32 and 3,094 is: 4,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.28 : 5,296.32 = 3,094 : x
  2. Step 2: Convert to fraction form
    3,840.28/5,296.32 = 3,094/x
  3. Step 3: Cross multiply
    3,840.28x = 5,296.32 × 3,094
  4. Step 4: Simplify right side
    3,840.28x = 16,386,814.08
  5. Step 5: Solve for x
    x = 16,386,814.08/3,840.28
  6. Step 6: Final answer
    x = 4,267.09

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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.