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Finding the Fourth Proportional to 5,196.72, 7,805.88 and 4,261.44

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Solution

The fourth proportional to 5,196.72, 7,805.88 and 4,261.44 is: 6,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.72 : 7,805.88 = 4,261.44 : x
  2. Step 2: Convert to fraction form
    5,196.72/7,805.88 = 4,261.44/x
  3. Step 3: Cross multiply
    5,196.72x = 7,805.88 × 4,261.44
  4. Step 4: Simplify right side
    5,196.72x = 33,264,289.27
  5. Step 5: Solve for x
    x = 33,264,289.27/5,196.72
  6. Step 6: Final answer
    x = 6,401.02

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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.