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Finding the Fourth Proportional to 4,946.94, 6,819.12 and 3,372.30

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Solution

The fourth proportional to 4,946.94, 6,819.12 and 3,372.30 is: 4,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.94 : 6,819.12 = 3,372.30 : x
  2. Step 2: Convert to fraction form
    4,946.94/6,819.12 = 3,372.30/x
  3. Step 3: Cross multiply
    4,946.94x = 6,819.12 × 3,372.30
  4. Step 4: Simplify right side
    4,946.94x = 22,996,118.38
  5. Step 5: Solve for x
    x = 22,996,118.38/4,946.94
  6. Step 6: Final answer
    x = 4,648.55

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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.