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Finding the Fourth Proportional to 3,482.76, 5,217.24 and 2,096.46

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Solution

The fourth proportional to 3,482.76, 5,217.24 and 2,096.46 is: 3,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.76 : 5,217.24 = 2,096.46 : x
  2. Step 2: Convert to fraction form
    3,482.76/5,217.24 = 2,096.46/x
  3. Step 3: Cross multiply
    3,482.76x = 5,217.24 × 2,096.46
  4. Step 4: Simplify right side
    3,482.76x = 10,937,734.97
  5. Step 5: Solve for x
    x = 10,937,734.97/3,482.76
  6. Step 6: Final answer
    x = 3,140.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.