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Finding the Fourth Proportional to 3,312.84, 4,930.17 and 3,204.84

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Solution

The fourth proportional to 3,312.84, 4,930.17 and 3,204.84 is: 4,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.84 : 4,930.17 = 3,204.84 : x
  2. Step 2: Convert to fraction form
    3,312.84/4,930.17 = 3,204.84/x
  3. Step 3: Cross multiply
    3,312.84x = 4,930.17 × 3,204.84
  4. Step 4: Simplify right side
    3,312.84x = 15,800,406.02
  5. Step 5: Solve for x
    x = 15,800,406.02/3,312.84
  6. Step 6: Final answer
    x = 4,769.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.