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Finding the Fourth Proportional to 5,296.64, 7,942.08 and 2,216

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Solution

The fourth proportional to 5,296.64, 7,942.08 and 2,216 is: 3,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,942.08 = 2,216 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,942.08 = 2,216/x
  3. Step 3: Cross multiply
    5,296.64x = 7,942.08 × 2,216
  4. Step 4: Simplify right side
    5,296.64x = 17,599,649.28
  5. Step 5: Solve for x
    x = 17,599,649.28/5,296.64
  6. Step 6: Final answer
    x = 3,322.80

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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.