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Finding the Fourth Proportional to 3,575.46, 5,361.36 and 1,384.80

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Solution

The fourth proportional to 3,575.46, 5,361.36 and 1,384.80 is: 2,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.46 : 5,361.36 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    3,575.46/5,361.36 = 1,384.80/x
  3. Step 3: Cross multiply
    3,575.46x = 5,361.36 × 1,384.80
  4. Step 4: Simplify right side
    3,575.46x = 7,424,411.33
  5. Step 5: Solve for x
    x = 7,424,411.33/3,575.46
  6. Step 6: Final answer
    x = 2,076.49

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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.