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Finding the Fourth Proportional to 3,787.64, 5,648.02 and 3,524.64

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Solution

The fourth proportional to 3,787.64, 5,648.02 and 3,524.64 is: 5,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.64 : 5,648.02 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    3,787.64/5,648.02 = 3,524.64/x
  3. Step 3: Cross multiply
    3,787.64x = 5,648.02 × 3,524.64
  4. Step 4: Simplify right side
    3,787.64x = 19,907,237.21
  5. Step 5: Solve for x
    x = 19,907,237.21/3,787.64
  6. Step 6: Final answer
    x = 5,255.84

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1.5x scale

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.