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Finding the Fourth Proportional to 4,509.54, 6,767.79 and 2,949.12

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Solution

The fourth proportional to 4,509.54, 6,767.79 and 2,949.12 is: 4,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.54 : 6,767.79 = 2,949.12 : x
  2. Step 2: Convert to fraction form
    4,509.54/6,767.79 = 2,949.12/x
  3. Step 3: Cross multiply
    4,509.54x = 6,767.79 × 2,949.12
  4. Step 4: Simplify right side
    4,509.54x = 19,959,024.84
  5. Step 5: Solve for x
    x = 19,959,024.84/4,509.54
  6. Step 6: Final answer
    x = 4,425.96

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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.