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Finding the Fourth Proportional to 5,288.61, 7,963.83 and 3,911.66

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Solution

The fourth proportional to 5,288.61, 7,963.83 and 3,911.66 is: 5,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.61 : 7,963.83 = 3,911.66 : x
  2. Step 2: Convert to fraction form
    5,288.61/7,963.83 = 3,911.66/x
  3. Step 3: Cross multiply
    5,288.61x = 7,963.83 × 3,911.66
  4. Step 4: Simplify right side
    5,288.61x = 31,151,755.44
  5. Step 5: Solve for x
    x = 31,151,755.44/5,288.61
  6. Step 6: Final answer
    x = 5,890.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.