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Finding the Fourth Proportional to 5,578.29, 7,699.11 and 3,689.94

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Solution

The fourth proportional to 5,578.29, 7,699.11 and 3,689.94 is: 5,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.29 : 7,699.11 = 3,689.94 : x
  2. Step 2: Convert to fraction form
    5,578.29/7,699.11 = 3,689.94/x
  3. Step 3: Cross multiply
    5,578.29x = 7,699.11 × 3,689.94
  4. Step 4: Simplify right side
    5,578.29x = 28,409,253.95
  5. Step 5: Solve for x
    x = 28,409,253.95/5,578.29
  6. Step 6: Final answer
    x = 5,092.82

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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.