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Finding the Fourth Proportional to 3,808.97, 5,697.65 and 3,575.69

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Solution

The fourth proportional to 3,808.97, 5,697.65 and 3,575.69 is: 5,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.97 : 5,697.65 = 3,575.69 : x
  2. Step 2: Convert to fraction form
    3,808.97/5,697.65 = 3,575.69/x
  3. Step 3: Cross multiply
    3,808.97x = 5,697.65 × 3,575.69
  4. Step 4: Simplify right side
    3,808.97x = 20,373,030.13
  5. Step 5: Solve for x
    x = 20,373,030.13/3,808.97
  6. Step 6: Final answer
    x = 5,348.70

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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.