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Finding the Fourth Proportional to 5,582.62, 8,361.78 and 2,652.04

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Solution

The fourth proportional to 5,582.62, 8,361.78 and 2,652.04 is: 3,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.62 : 8,361.78 = 2,652.04 : x
  2. Step 2: Convert to fraction form
    5,582.62/8,361.78 = 2,652.04/x
  3. Step 3: Cross multiply
    5,582.62x = 8,361.78 × 2,652.04
  4. Step 4: Simplify right side
    5,582.62x = 22,175,775.03
  5. Step 5: Solve for x
    x = 22,175,775.03/5,582.62
  6. Step 6: Final answer
    x = 3,972.29

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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.