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Finding the Fourth Proportional to 4,267.96, 5,887.50 and 2,942.32

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Solution

The fourth proportional to 4,267.96, 5,887.50 and 2,942.32 is: 4,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.96 : 5,887.50 = 2,942.32 : x
  2. Step 2: Convert to fraction form
    4,267.96/5,887.50 = 2,942.32/x
  3. Step 3: Cross multiply
    4,267.96x = 5,887.50 × 2,942.32
  4. Step 4: Simplify right side
    4,267.96x = 17,322,909
  5. Step 5: Solve for x
    x = 17,322,909/4,267.96
  6. Step 6: Final answer
    x = 4,058.83

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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.