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Finding the Fourth Proportional to 5,604.53, 7,734.25 and 3,086.63

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Solution

The fourth proportional to 5,604.53, 7,734.25 and 3,086.63 is: 4,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.53 : 7,734.25 = 3,086.63 : x
  2. Step 2: Convert to fraction form
    5,604.53/7,734.25 = 3,086.63/x
  3. Step 3: Cross multiply
    5,604.53x = 7,734.25 × 3,086.63
  4. Step 4: Simplify right side
    5,604.53x = 23,872,744.91
  5. Step 5: Solve for x
    x = 23,872,744.91/5,604.53
  6. Step 6: Final answer
    x = 4,259.55

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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.