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Finding the Fourth Proportional to 5,604.78, 7,734.60 and 3,120.78

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Solution

The fourth proportional to 5,604.78, 7,734.60 and 3,120.78 is: 4,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.78 : 7,734.60 = 3,120.78 : x
  2. Step 2: Convert to fraction form
    5,604.78/7,734.60 = 3,120.78/x
  3. Step 3: Cross multiply
    5,604.78x = 7,734.60 × 3,120.78
  4. Step 4: Simplify right side
    5,604.78x = 24,137,984.99
  5. Step 5: Solve for x
    x = 24,137,984.99/5,604.78
  6. Step 6: Final answer
    x = 4,306.68

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1.5x scale

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.