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Finding the Fourth Proportional to 4,196.53, 6,295.71 and 1,599.47

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Solution

The fourth proportional to 4,196.53, 6,295.71 and 1,599.47 is: 2,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.53 : 6,295.71 = 1,599.47 : x
  2. Step 2: Convert to fraction form
    4,196.53/6,295.71 = 1,599.47/x
  3. Step 3: Cross multiply
    4,196.53x = 6,295.71 × 1,599.47
  4. Step 4: Simplify right side
    4,196.53x = 10,069,797.40
  5. Step 5: Solve for x
    x = 10,069,797.40/4,196.53
  6. Step 6: Final answer
    x = 2,399.55

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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.