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Finding the Fourth Proportional to 5,892.90, 8,839.74 and 1,733.28

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Solution

The fourth proportional to 5,892.90, 8,839.74 and 1,733.28 is: 2,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.90 : 8,839.74 = 1,733.28 : x
  2. Step 2: Convert to fraction form
    5,892.90/8,839.74 = 1,733.28/x
  3. Step 3: Cross multiply
    5,892.90x = 8,839.74 × 1,733.28
  4. Step 4: Simplify right side
    5,892.90x = 15,321,744.55
  5. Step 5: Solve for x
    x = 15,321,744.55/5,892.90
  6. Step 6: Final answer
    x = 2,600.03

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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.