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Finding the Fourth Proportional to 4,155.68, 5,734.82 and 2,267.24

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Solution

The fourth proportional to 4,155.68, 5,734.82 and 2,267.24 is: 3,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.68 : 5,734.82 = 2,267.24 : x
  2. Step 2: Convert to fraction form
    4,155.68/5,734.82 = 2,267.24/x
  3. Step 3: Cross multiply
    4,155.68x = 5,734.82 × 2,267.24
  4. Step 4: Simplify right side
    4,155.68x = 13,002,184.62
  5. Step 5: Solve for x
    x = 13,002,184.62/4,155.68
  6. Step 6: Final answer
    x = 3,128.77

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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.