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Finding the Fourth Proportional to 5,938.92, 8,893.80 and 4,084.83

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Solution

The fourth proportional to 5,938.92, 8,893.80 and 4,084.83 is: 6,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.92 : 8,893.80 = 4,084.83 : x
  2. Step 2: Convert to fraction form
    5,938.92/8,893.80 = 4,084.83/x
  3. Step 3: Cross multiply
    5,938.92x = 8,893.80 × 4,084.83
  4. Step 4: Simplify right side
    5,938.92x = 36,329,661.05
  5. Step 5: Solve for x
    x = 36,329,661.05/5,938.92
  6. Step 6: Final answer
    x = 6,117.22

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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.