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Finding the Fourth Proportional to 5,881.58, 8,863.67 and 5,297.31

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Solution

The fourth proportional to 5,881.58, 8,863.67 and 5,297.31 is: 7,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.58 : 8,863.67 = 5,297.31 : x
  2. Step 2: Convert to fraction form
    5,881.58/8,863.67 = 5,297.31/x
  3. Step 3: Cross multiply
    5,881.58x = 8,863.67 × 5,297.31
  4. Step 4: Simplify right side
    5,881.58x = 46,953,620.97
  5. Step 5: Solve for x
    x = 46,953,620.97/5,881.58
  6. Step 6: Final answer
    x = 7,983.17

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Why These Related Problems?

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