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Finding the Fourth Proportional to 3,884.42, 5,824.38 and 2,653.32

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Solution

The fourth proportional to 3,884.42, 5,824.38 and 2,653.32 is: 3,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,824.38 = 2,653.32 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,824.38 = 2,653.32/x
  3. Step 3: Cross multiply
    3,884.42x = 5,824.38 × 2,653.32
  4. Step 4: Simplify right side
    3,884.42x = 15,453,943.94
  5. Step 5: Solve for x
    x = 15,453,943.94/3,884.42
  6. Step 6: Final answer
    x = 3,978.44

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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.