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Finding the Fourth Proportional to 4,669.31, 6,443.65 and 2,806.31

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Solution

The fourth proportional to 4,669.31, 6,443.65 and 2,806.31 is: 3,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.31 : 6,443.65 = 2,806.31 : x
  2. Step 2: Convert to fraction form
    4,669.31/6,443.65 = 2,806.31/x
  3. Step 3: Cross multiply
    4,669.31x = 6,443.65 × 2,806.31
  4. Step 4: Simplify right side
    4,669.31x = 18,082,899.05
  5. Step 5: Solve for x
    x = 18,082,899.05/4,669.31
  6. Step 6: Final answer
    x = 3,872.71

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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.