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Finding the Fourth Proportional to 5,176.66, 7,766.01 and 1,667.59

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Solution

The fourth proportional to 5,176.66, 7,766.01 and 1,667.59 is: 2,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.66 : 7,766.01 = 1,667.59 : x
  2. Step 2: Convert to fraction form
    5,176.66/7,766.01 = 1,667.59/x
  3. Step 3: Cross multiply
    5,176.66x = 7,766.01 × 1,667.59
  4. Step 4: Simplify right side
    5,176.66x = 12,950,520.62
  5. Step 5: Solve for x
    x = 12,950,520.62/5,176.66
  6. Step 6: Final answer
    x = 2,501.71

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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.