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Finding the Fourth Proportional to 5,322.24, 7,338 and 4,141.44

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Solution

The fourth proportional to 5,322.24, 7,338 and 4,141.44 is: 5,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.24 : 7,338 = 4,141.44 : x
  2. Step 2: Convert to fraction form
    5,322.24/7,338 = 4,141.44/x
  3. Step 3: Cross multiply
    5,322.24x = 7,338 × 4,141.44
  4. Step 4: Simplify right side
    5,322.24x = 30,389,886.72
  5. Step 5: Solve for x
    x = 30,389,886.72/5,322.24
  6. Step 6: Final answer
    x = 5,709.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.