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Finding the Fourth Proportional to 3,501.61, 5,249.17 and 1,308.67

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Solution

The fourth proportional to 3,501.61, 5,249.17 and 1,308.67 is: 1,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.61 : 5,249.17 = 1,308.67 : x
  2. Step 2: Convert to fraction form
    3,501.61/5,249.17 = 1,308.67/x
  3. Step 3: Cross multiply
    3,501.61x = 5,249.17 × 1,308.67
  4. Step 4: Simplify right side
    3,501.61x = 6,869,431.30
  5. Step 5: Solve for x
    x = 6,869,431.30/3,501.61
  6. Step 6: Final answer
    x = 1,961.79

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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.