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Finding the Fourth Proportional to 4,157.78, 5,736.15 and 2,666.57

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Solution

The fourth proportional to 4,157.78, 5,736.15 and 2,666.57 is: 3,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.78 : 5,736.15 = 2,666.57 : x
  2. Step 2: Convert to fraction form
    4,157.78/5,736.15 = 2,666.57/x
  3. Step 3: Cross multiply
    4,157.78x = 5,736.15 × 2,666.57
  4. Step 4: Simplify right side
    4,157.78x = 15,295,816.82
  5. Step 5: Solve for x
    x = 15,295,816.82/4,157.78
  6. Step 6: Final answer
    x = 3,678.85

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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.