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Finding the Fourth Proportional to 3,873.62, 5,806.46 and 1,532.68

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Solution

The fourth proportional to 3,873.62, 5,806.46 and 1,532.68 is: 2,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.62 : 5,806.46 = 1,532.68 : x
  2. Step 2: Convert to fraction form
    3,873.62/5,806.46 = 1,532.68/x
  3. Step 3: Cross multiply
    3,873.62x = 5,806.46 × 1,532.68
  4. Step 4: Simplify right side
    3,873.62x = 8,899,445.11
  5. Step 5: Solve for x
    x = 8,899,445.11/3,873.62
  6. Step 6: Final answer
    x = 2,297.45

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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.