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Finding the Fourth Proportional to 5,598.38, 8,380.53 and 3,734.57

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Solution

The fourth proportional to 5,598.38, 8,380.53 and 3,734.57 is: 5,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.38 : 8,380.53 = 3,734.57 : x
  2. Step 2: Convert to fraction form
    5,598.38/8,380.53 = 3,734.57/x
  3. Step 3: Cross multiply
    5,598.38x = 8,380.53 × 3,734.57
  4. Step 4: Simplify right side
    5,598.38x = 31,297,634.02
  5. Step 5: Solve for x
    x = 31,297,634.02/5,598.38
  6. Step 6: Final answer
    x = 5,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.