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Finding the Fourth Proportional to 4,976.30, 7,462.78 and 2,509.56

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Solution

The fourth proportional to 4,976.30, 7,462.78 and 2,509.56 is: 3,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.30 : 7,462.78 = 2,509.56 : x
  2. Step 2: Convert to fraction form
    4,976.30/7,462.78 = 2,509.56/x
  3. Step 3: Cross multiply
    4,976.30x = 7,462.78 × 2,509.56
  4. Step 4: Simplify right side
    4,976.30x = 18,728,294.18
  5. Step 5: Solve for x
    x = 18,728,294.18/4,976.30
  6. Step 6: Final answer
    x = 3,763.50

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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.