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Finding the Fourth Proportional to 5,689.20, 7,849.78 and 3,450.63

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Solution

The fourth proportional to 5,689.20, 7,849.78 and 3,450.63 is: 4,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.20 : 7,849.78 = 3,450.63 : x
  2. Step 2: Convert to fraction form
    5,689.20/7,849.78 = 3,450.63/x
  3. Step 3: Cross multiply
    5,689.20x = 7,849.78 × 3,450.63
  4. Step 4: Simplify right side
    5,689.20x = 27,086,707.17
  5. Step 5: Solve for x
    x = 27,086,707.17/5,689.20
  6. Step 6: Final answer
    x = 4,761.07

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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.