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Finding the Fourth Proportional to 5,603.78, 7,733.22 and 3,085.82

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Solution

The fourth proportional to 5,603.78, 7,733.22 and 3,085.82 is: 4,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.78 : 7,733.22 = 3,085.82 : x
  2. Step 2: Convert to fraction form
    5,603.78/7,733.22 = 3,085.82/x
  3. Step 3: Cross multiply
    5,603.78x = 7,733.22 × 3,085.82
  4. Step 4: Simplify right side
    5,603.78x = 23,863,324.94
  5. Step 5: Solve for x
    x = 23,863,324.94/5,603.78
  6. Step 6: Final answer
    x = 4,258.43

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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.