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Finding the Fourth Proportional to 5,144.58, 7,720.56 and 3,849.48

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Solution

The fourth proportional to 5,144.58, 7,720.56 and 3,849.48 is: 5,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.58 : 7,720.56 = 3,849.48 : x
  2. Step 2: Convert to fraction form
    5,144.58/7,720.56 = 3,849.48/x
  3. Step 3: Cross multiply
    5,144.58x = 7,720.56 × 3,849.48
  4. Step 4: Simplify right side
    5,144.58x = 29,720,141.31
  5. Step 5: Solve for x
    x = 29,720,141.31/5,144.58
  6. Step 6: Final answer
    x = 5,776.98

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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.