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Finding the Fourth Proportional to 4,640.13, 6,960.27 and 1,520.47

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Solution

The fourth proportional to 4,640.13, 6,960.27 and 1,520.47 is: 2,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.13 : 6,960.27 = 1,520.47 : x
  2. Step 2: Convert to fraction form
    4,640.13/6,960.27 = 1,520.47/x
  3. Step 3: Cross multiply
    4,640.13x = 6,960.27 × 1,520.47
  4. Step 4: Simplify right side
    4,640.13x = 10,582,846.93
  5. Step 5: Solve for x
    x = 10,582,846.93/4,640.13
  6. Step 6: Final answer
    x = 2,280.72

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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.