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Finding the Fourth Proportional to 4,709.73, 6,500.28 and 3,217.10

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Solution

The fourth proportional to 4,709.73, 6,500.28 and 3,217.10 is: 4,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.73 : 6,500.28 = 3,217.10 : x
  2. Step 2: Convert to fraction form
    4,709.73/6,500.28 = 3,217.10/x
  3. Step 3: Cross multiply
    4,709.73x = 6,500.28 × 3,217.10
  4. Step 4: Simplify right side
    4,709.73x = 20,912,018.29
  5. Step 5: Solve for x
    x = 20,912,018.29/4,709.73
  6. Step 6: Final answer
    x = 4,440.17

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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.