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Finding the Fourth Proportional to 4,709.87, 6,500.82 and 3,218.39

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Solution

The fourth proportional to 4,709.87, 6,500.82 and 3,218.39 is: 4,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.87 : 6,500.82 = 3,218.39 : x
  2. Step 2: Convert to fraction form
    4,709.87/6,500.82 = 3,218.39/x
  3. Step 3: Cross multiply
    4,709.87x = 6,500.82 × 3,218.39
  4. Step 4: Simplify right side
    4,709.87x = 20,922,174.08
  5. Step 5: Solve for x
    x = 20,922,174.08/4,709.87
  6. Step 6: Final answer
    x = 4,442.20

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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.