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Finding the Fourth Proportional to 3,590.68, 5,381.24 and 1,738.11

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Solution

The fourth proportional to 3,590.68, 5,381.24 and 1,738.11 is: 2,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.68 : 5,381.24 = 1,738.11 : x
  2. Step 2: Convert to fraction form
    3,590.68/5,381.24 = 1,738.11/x
  3. Step 3: Cross multiply
    3,590.68x = 5,381.24 × 1,738.11
  4. Step 4: Simplify right side
    3,590.68x = 9,353,168.28
  5. Step 5: Solve for x
    x = 9,353,168.28/3,590.68
  6. Step 6: Final answer
    x = 2,604.85

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