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Finding the Fourth Proportional to 4,633.95, 6,951.02 and 1,513.97

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Solution

The fourth proportional to 4,633.95, 6,951.02 and 1,513.97 is: 2,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.95 : 6,951.02 = 1,513.97 : x
  2. Step 2: Convert to fraction form
    4,633.95/6,951.02 = 1,513.97/x
  3. Step 3: Cross multiply
    4,633.95x = 6,951.02 × 1,513.97
  4. Step 4: Simplify right side
    4,633.95x = 10,523,593.42
  5. Step 5: Solve for x
    x = 10,523,593.42/4,633.95
  6. Step 6: Final answer
    x = 2,270.98

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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.