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Finding the Fourth Proportional to 4,709.88, 6,496.83 and 3,217.05

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Solution

The fourth proportional to 4,709.88, 6,496.83 and 3,217.05 is: 4,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.88 : 6,496.83 = 3,217.05 : x
  2. Step 2: Convert to fraction form
    4,709.88/6,496.83 = 3,217.05/x
  3. Step 3: Cross multiply
    4,709.88x = 6,496.83 × 3,217.05
  4. Step 4: Simplify right side
    4,709.88x = 20,900,626.95
  5. Step 5: Solve for x
    x = 20,900,626.95/4,709.88
  6. Step 6: Final answer
    x = 4,437.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.