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Finding the Fourth Proportional to 5,203.88, 7,805.91 and 1,693.87

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Solution

The fourth proportional to 5,203.88, 7,805.91 and 1,693.87 is: 2,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.88 : 7,805.91 = 1,693.87 : x
  2. Step 2: Convert to fraction form
    5,203.88/7,805.91 = 1,693.87/x
  3. Step 3: Cross multiply
    5,203.88x = 7,805.91 × 1,693.87
  4. Step 4: Simplify right side
    5,203.88x = 13,222,202.00
  5. Step 5: Solve for x
    x = 13,222,202.00/5,203.88
  6. Step 6: Final answer
    x = 2,540.84

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