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Finding the Fourth Proportional to 5,773.72, 7,962.42 and 3,783.55

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Solution

The fourth proportional to 5,773.72, 7,962.42 and 3,783.55 is: 5,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.72 : 7,962.42 = 3,783.55 : x
  2. Step 2: Convert to fraction form
    5,773.72/7,962.42 = 3,783.55/x
  3. Step 3: Cross multiply
    5,773.72x = 7,962.42 × 3,783.55
  4. Step 4: Simplify right side
    5,773.72x = 30,126,214.19
  5. Step 5: Solve for x
    x = 30,126,214.19/5,773.72
  6. Step 6: Final answer
    x = 5,217.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.