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Finding the Fourth Proportional to 5,604.38, 7,734.04 and 3,120.38

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Solution

The fourth proportional to 5,604.38, 7,734.04 and 3,120.38 is: 4,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.38 : 7,734.04 = 3,120.38 : x
  2. Step 2: Convert to fraction form
    5,604.38/7,734.04 = 3,120.38/x
  3. Step 3: Cross multiply
    5,604.38x = 7,734.04 × 3,120.38
  4. Step 4: Simplify right side
    5,604.38x = 24,133,143.74
  5. Step 5: Solve for x
    x = 24,133,143.74/5,604.38
  6. Step 6: Final answer
    x = 4,306.12

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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.