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Finding the Fourth Proportional to 4,767.68, 6,576.72 and 3,368

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Solution

The fourth proportional to 4,767.68, 6,576.72 and 3,368 is: 4,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.68 : 6,576.72 = 3,368 : x
  2. Step 2: Convert to fraction form
    4,767.68/6,576.72 = 3,368/x
  3. Step 3: Cross multiply
    4,767.68x = 6,576.72 × 3,368
  4. Step 4: Simplify right side
    4,767.68x = 22,150,392.96
  5. Step 5: Solve for x
    x = 22,150,392.96/4,767.68
  6. Step 6: Final answer
    x = 4,645.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.