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Finding the Fourth Proportional to 3,806.29, 5,711.28 and 3,313.63

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Solution

The fourth proportional to 3,806.29, 5,711.28 and 3,313.63 is: 4,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.29 : 5,711.28 = 3,313.63 : x
  2. Step 2: Convert to fraction form
    3,806.29/5,711.28 = 3,313.63/x
  3. Step 3: Cross multiply
    3,806.29x = 5,711.28 × 3,313.63
  4. Step 4: Simplify right side
    3,806.29x = 18,925,068.75
  5. Step 5: Solve for x
    x = 18,925,068.75/3,806.29
  6. Step 6: Final answer
    x = 4,972.05

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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.