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Finding the Fourth Proportional to 5,773.98, 8,662.34 and 4,142.84

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Solution

The fourth proportional to 5,773.98, 8,662.34 and 4,142.84 is: 6,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.98 : 8,662.34 = 4,142.84 : x
  2. Step 2: Convert to fraction form
    5,773.98/8,662.34 = 4,142.84/x
  3. Step 3: Cross multiply
    5,773.98x = 8,662.34 × 4,142.84
  4. Step 4: Simplify right side
    5,773.98x = 35,886,667.93
  5. Step 5: Solve for x
    x = 35,886,667.93/5,773.98
  6. Step 6: Final answer
    x = 6,215.24

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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.