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Finding the Fourth Proportional to 3,809.10, 5,697.84 and 3,575.82

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Solution

The fourth proportional to 3,809.10, 5,697.84 and 3,575.82 is: 5,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.10 : 5,697.84 = 3,575.82 : x
  2. Step 2: Convert to fraction form
    3,809.10/5,697.84 = 3,575.82/x
  3. Step 3: Cross multiply
    3,809.10x = 5,697.84 × 3,575.82
  4. Step 4: Simplify right side
    3,809.10x = 20,374,450.23
  5. Step 5: Solve for x
    x = 20,374,450.23/3,809.10
  6. Step 6: Final answer
    x = 5,348.89

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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.