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Finding the Fourth Proportional to 5,777.58, 8,648.42 and 3,138.54

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Solution

The fourth proportional to 5,777.58, 8,648.42 and 3,138.54 is: 4,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.58 : 8,648.42 = 3,138.54 : x
  2. Step 2: Convert to fraction form
    5,777.58/8,648.42 = 3,138.54/x
  3. Step 3: Cross multiply
    5,777.58x = 8,648.42 × 3,138.54
  4. Step 4: Simplify right side
    5,777.58x = 27,143,412.11
  5. Step 5: Solve for x
    x = 27,143,412.11/5,777.58
  6. Step 6: Final answer
    x = 4,698.06

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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.