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Finding the Fourth Proportional to 4,509.74, 6,768.12 and 2,949.32

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Solution

The fourth proportional to 4,509.74, 6,768.12 and 2,949.32 is: 4,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.74 : 6,768.12 = 2,949.32 : x
  2. Step 2: Convert to fraction form
    4,509.74/6,768.12 = 2,949.32/x
  3. Step 3: Cross multiply
    4,509.74x = 6,768.12 × 2,949.32
  4. Step 4: Simplify right side
    4,509.74x = 19,961,351.68
  5. Step 5: Solve for x
    x = 19,961,351.68/4,509.74
  6. Step 6: Final answer
    x = 4,426.28

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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.