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Finding the Fourth Proportional to 4,144.07, 5,718.70 and 2,255.61

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Solution

The fourth proportional to 4,144.07, 5,718.70 and 2,255.61 is: 3,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.07 : 5,718.70 = 2,255.61 : x
  2. Step 2: Convert to fraction form
    4,144.07/5,718.70 = 2,255.61/x
  3. Step 3: Cross multiply
    4,144.07x = 5,718.70 × 2,255.61
  4. Step 4: Simplify right side
    4,144.07x = 12,899,122.67
  5. Step 5: Solve for x
    x = 12,899,122.67/4,144.07
  6. Step 6: Final answer
    x = 3,112.67

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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.