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Finding the Fourth Proportional to 4,155.63, 5,734.76 and 2,292.63

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Solution

The fourth proportional to 4,155.63, 5,734.76 and 2,292.63 is: 3,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.63 : 5,734.76 = 2,292.63 : x
  2. Step 2: Convert to fraction form
    4,155.63/5,734.76 = 2,292.63/x
  3. Step 3: Cross multiply
    4,155.63x = 5,734.76 × 2,292.63
  4. Step 4: Simplify right side
    4,155.63x = 13,147,659.88
  5. Step 5: Solve for x
    x = 13,147,659.88/4,155.63
  6. Step 6: Final answer
    x = 3,163.82

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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.