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Finding the Fourth Proportional to 5,604.14, 7,734.19 and 3,086.74

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Solution

The fourth proportional to 5,604.14, 7,734.19 and 3,086.74 is: 4,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.14 : 7,734.19 = 3,086.74 : x
  2. Step 2: Convert to fraction form
    5,604.14/7,734.19 = 3,086.74/x
  3. Step 3: Cross multiply
    5,604.14x = 7,734.19 × 3,086.74
  4. Step 4: Simplify right side
    5,604.14x = 23,873,433.64
  5. Step 5: Solve for x
    x = 23,873,433.64/5,604.14
  6. Step 6: Final answer
    x = 4,259.96

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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.