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Finding the Fourth Proportional to 4,983.26, 7,475.02 and 1,520.50

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Solution

The fourth proportional to 4,983.26, 7,475.02 and 1,520.50 is: 2,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.26 : 7,475.02 = 1,520.50 : x
  2. Step 2: Convert to fraction form
    4,983.26/7,475.02 = 1,520.50/x
  3. Step 3: Cross multiply
    4,983.26x = 7,475.02 × 1,520.50
  4. Step 4: Simplify right side
    4,983.26x = 11,365,767.91
  5. Step 5: Solve for x
    x = 11,365,767.91/4,983.26
  6. Step 6: Final answer
    x = 2,280.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.