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Finding the Fourth Proportional to 3,682.32, 5,524.56 and 1,374

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Solution

The fourth proportional to 3,682.32, 5,524.56 and 1,374 is: 2,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.32 : 5,524.56 = 1,374 : x
  2. Step 2: Convert to fraction form
    3,682.32/5,524.56 = 1,374/x
  3. Step 3: Cross multiply
    3,682.32x = 5,524.56 × 1,374
  4. Step 4: Simplify right side
    3,682.32x = 7,590,745.44
  5. Step 5: Solve for x
    x = 7,590,745.44/3,682.32
  6. Step 6: Final answer
    x = 2,061.40

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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.