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Finding the Fourth Proportional to 3,172.56, 4,377.08 and 1,913.44

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Solution

The fourth proportional to 3,172.56, 4,377.08 and 1,913.44 is: 2,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.56 : 4,377.08 = 1,913.44 : x
  2. Step 2: Convert to fraction form
    3,172.56/4,377.08 = 1,913.44/x
  3. Step 3: Cross multiply
    3,172.56x = 4,377.08 × 1,913.44
  4. Step 4: Simplify right side
    3,172.56x = 8,375,279.96
  5. Step 5: Solve for x
    x = 8,375,279.96/3,172.56
  6. Step 6: Final answer
    x = 2,639.91

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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.