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Finding the Fourth Proportional to 4,149.15, 5,725.76 and 2,260.76

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Solution

The fourth proportional to 4,149.15, 5,725.76 and 2,260.76 is: 3,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.15 : 5,725.76 = 2,260.76 : x
  2. Step 2: Convert to fraction form
    4,149.15/5,725.76 = 2,260.76/x
  3. Step 3: Cross multiply
    4,149.15x = 5,725.76 × 2,260.76
  4. Step 4: Simplify right side
    4,149.15x = 12,944,537.72
  5. Step 5: Solve for x
    x = 12,944,537.72/4,149.15
  6. Step 6: Final answer
    x = 3,119.80

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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.