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Finding the Fourth Proportional to 4,633.43, 6,951.25 and 1,513.44

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Solution

The fourth proportional to 4,633.43, 6,951.25 and 1,513.44 is: 2,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.43 : 6,951.25 = 1,513.44 : x
  2. Step 2: Convert to fraction form
    4,633.43/6,951.25 = 1,513.44/x
  3. Step 3: Cross multiply
    4,633.43x = 6,951.25 × 1,513.44
  4. Step 4: Simplify right side
    4,633.43x = 10,520,296.02
  5. Step 5: Solve for x
    x = 10,520,296.02/4,633.43
  6. Step 6: Final answer
    x = 2,270.52

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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.