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Finding the Fourth Proportional to 4,149.38, 5,725.93 and 2,260.95

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Solution

The fourth proportional to 4,149.38, 5,725.93 and 2,260.95 is: 3,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.38 : 5,725.93 = 2,260.95 : x
  2. Step 2: Convert to fraction form
    4,149.38/5,725.93 = 2,260.95/x
  3. Step 3: Cross multiply
    4,149.38x = 5,725.93 × 2,260.95
  4. Step 4: Simplify right side
    4,149.38x = 12,946,041.43
  5. Step 5: Solve for x
    x = 12,946,041.43/4,149.38
  6. Step 6: Final answer
    x = 3,119.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.