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Finding the Fourth Proportional to 5,643.31, 8,450.37 and 3,893.71

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Solution

The fourth proportional to 5,643.31, 8,450.37 and 3,893.71 is: 5,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.31 : 8,450.37 = 3,893.71 : x
  2. Step 2: Convert to fraction form
    5,643.31/8,450.37 = 3,893.71/x
  3. Step 3: Cross multiply
    5,643.31x = 8,450.37 × 3,893.71
  4. Step 4: Simplify right side
    5,643.31x = 32,903,290.17
  5. Step 5: Solve for x
    x = 32,903,290.17/5,643.31
  6. Step 6: Final answer
    x = 5,830.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.