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Finding the Fourth Proportional to 4,196.64, 6,296.58 and 1,599.78

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Solution

The fourth proportional to 4,196.64, 6,296.58 and 1,599.78 is: 2,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.64 : 6,296.58 = 1,599.78 : x
  2. Step 2: Convert to fraction form
    4,196.64/6,296.58 = 1,599.78/x
  3. Step 3: Cross multiply
    4,196.64x = 6,296.58 × 1,599.78
  4. Step 4: Simplify right side
    4,196.64x = 10,073,142.75
  5. Step 5: Solve for x
    x = 10,073,142.75/4,196.64
  6. Step 6: Final answer
    x = 2,400.29

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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.