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Finding the Fourth Proportional to 5,863.40, 8,095.27 and 5,232.85

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Solution

The fourth proportional to 5,863.40, 8,095.27 and 5,232.85 is: 7,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.40 : 8,095.27 = 5,232.85 : x
  2. Step 2: Convert to fraction form
    5,863.40/8,095.27 = 5,232.85/x
  3. Step 3: Cross multiply
    5,863.40x = 8,095.27 × 5,232.85
  4. Step 4: Simplify right side
    5,863.40x = 42,361,333.62
  5. Step 5: Solve for x
    x = 42,361,333.62/5,863.40
  6. Step 6: Final answer
    x = 7,224.70

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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.