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Finding the Fourth Proportional to 4,143.84, 5,718.60 and 2,255.43

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Solution

The fourth proportional to 4,143.84, 5,718.60 and 2,255.43 is: 3,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.84 : 5,718.60 = 2,255.43 : x
  2. Step 2: Convert to fraction form
    4,143.84/5,718.60 = 2,255.43/x
  3. Step 3: Cross multiply
    4,143.84x = 5,718.60 × 2,255.43
  4. Step 4: Simplify right side
    4,143.84x = 12,897,902.00
  5. Step 5: Solve for x
    x = 12,897,902.00/4,143.84
  6. Step 6: Final answer
    x = 3,112.55

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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.