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Finding the Fourth Proportional to 5,696.49, 8,545.77 and 2,577.97

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Solution

The fourth proportional to 5,696.49, 8,545.77 and 2,577.97 is: 3,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.49 : 8,545.77 = 2,577.97 : x
  2. Step 2: Convert to fraction form
    5,696.49/8,545.77 = 2,577.97/x
  3. Step 3: Cross multiply
    5,696.49x = 8,545.77 × 2,577.97
  4. Step 4: Simplify right side
    5,696.49x = 22,030,717.32
  5. Step 5: Solve for x
    x = 22,030,717.32/5,696.49
  6. Step 6: Final answer
    x = 3,867.42

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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.