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Finding the Fourth Proportional to 4,117.67, 6,172.07 and 1,778.78

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Solution

The fourth proportional to 4,117.67, 6,172.07 and 1,778.78 is: 2,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.67 : 6,172.07 = 1,778.78 : x
  2. Step 2: Convert to fraction form
    4,117.67/6,172.07 = 1,778.78/x
  3. Step 3: Cross multiply
    4,117.67x = 6,172.07 × 1,778.78
  4. Step 4: Simplify right side
    4,117.67x = 10,978,736.50
  5. Step 5: Solve for x
    x = 10,978,736.50/4,117.67
  6. Step 6: Final answer
    x = 2,666.25

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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.