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Finding the Fourth Proportional to 4,976.72, 7,469.70 and 2,513.28

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Solution

The fourth proportional to 4,976.72, 7,469.70 and 2,513.28 is: 3,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.72 : 7,469.70 = 2,513.28 : x
  2. Step 2: Convert to fraction form
    4,976.72/7,469.70 = 2,513.28/x
  3. Step 3: Cross multiply
    4,976.72x = 7,469.70 × 2,513.28
  4. Step 4: Simplify right side
    4,976.72x = 18,773,438.32
  5. Step 5: Solve for x
    x = 18,773,438.32/4,976.72
  6. Step 6: Final answer
    x = 3,772.25

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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.