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Finding the Fourth Proportional to 5,893.09, 8,839.73 and 4,717.64

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Solution

The fourth proportional to 5,893.09, 8,839.73 and 4,717.64 is: 7,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.09 : 8,839.73 = 4,717.64 : x
  2. Step 2: Convert to fraction form
    5,893.09/8,839.73 = 4,717.64/x
  3. Step 3: Cross multiply
    5,893.09x = 8,839.73 × 4,717.64
  4. Step 4: Simplify right side
    5,893.09x = 41,702,697.73
  5. Step 5: Solve for x
    x = 41,702,697.73/5,893.09
  6. Step 6: Final answer
    x = 7,076.54

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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.