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Finding the Fourth Proportional to 5,696.74, 8,545.39 and 2,777.54

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Solution

The fourth proportional to 5,696.74, 8,545.39 and 2,777.54 is: 4,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.74 : 8,545.39 = 2,777.54 : x
  2. Step 2: Convert to fraction form
    5,696.74/8,545.39 = 2,777.54/x
  3. Step 3: Cross multiply
    5,696.74x = 8,545.39 × 2,777.54
  4. Step 4: Simplify right side
    5,696.74x = 23,735,162.54
  5. Step 5: Solve for x
    x = 23,735,162.54/5,696.74
  6. Step 6: Final answer
    x = 4,166.45

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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.