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Finding the Fourth Proportional to 5,667.41, 7,818.83 and 4,178.86

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Solution

The fourth proportional to 5,667.41, 7,818.83 and 4,178.86 is: 5,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.41 : 7,818.83 = 4,178.86 : x
  2. Step 2: Convert to fraction form
    5,667.41/7,818.83 = 4,178.86/x
  3. Step 3: Cross multiply
    5,667.41x = 7,818.83 × 4,178.86
  4. Step 4: Simplify right side
    5,667.41x = 32,673,795.93
  5. Step 5: Solve for x
    x = 32,673,795.93/5,667.41
  6. Step 6: Final answer
    x = 5,765.21

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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.