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Finding the Fourth Proportional to 3,578.02, 5,361.10 and 2,532.86

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Solution

The fourth proportional to 3,578.02, 5,361.10 and 2,532.86 is: 3,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.02 : 5,361.10 = 2,532.86 : x
  2. Step 2: Convert to fraction form
    3,578.02/5,361.10 = 2,532.86/x
  3. Step 3: Cross multiply
    3,578.02x = 5,361.10 × 2,532.86
  4. Step 4: Simplify right side
    3,578.02x = 13,578,915.75
  5. Step 5: Solve for x
    x = 13,578,915.75/3,578.02
  6. Step 6: Final answer
    x = 3,795.09

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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.