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Finding the Fourth Proportional to 3,787.68, 5,650.44 and 3,522.54

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Solution

The fourth proportional to 3,787.68, 5,650.44 and 3,522.54 is: 5,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,650.44 = 3,522.54 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,650.44 = 3,522.54/x
  3. Step 3: Cross multiply
    3,787.68x = 5,650.44 × 3,522.54
  4. Step 4: Simplify right side
    3,787.68x = 19,903,900.92
  5. Step 5: Solve for x
    x = 19,903,900.92/3,787.68
  6. Step 6: Final answer
    x = 5,254.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.