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Finding the Fourth Proportional to 5,338.31, 8,008.41 and 1,827.49

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Solution

The fourth proportional to 5,338.31, 8,008.41 and 1,827.49 is: 2,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.31 : 8,008.41 = 1,827.49 : x
  2. Step 2: Convert to fraction form
    5,338.31/8,008.41 = 1,827.49/x
  3. Step 3: Cross multiply
    5,338.31x = 8,008.41 × 1,827.49
  4. Step 4: Simplify right side
    5,338.31x = 14,635,289.19
  5. Step 5: Solve for x
    x = 14,635,289.19/5,338.31
  6. Step 6: Final answer
    x = 2,741.56

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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.