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Finding the Fourth Proportional to 5,354.24, 8,029.28 and 1,843.58

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Solution

The fourth proportional to 5,354.24, 8,029.28 and 1,843.58 is: 2,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.24 : 8,029.28 = 1,843.58 : x
  2. Step 2: Convert to fraction form
    5,354.24/8,029.28 = 1,843.58/x
  3. Step 3: Cross multiply
    5,354.24x = 8,029.28 × 1,843.58
  4. Step 4: Simplify right side
    5,354.24x = 14,802,620.02
  5. Step 5: Solve for x
    x = 14,802,620.02/5,354.24
  6. Step 6: Final answer
    x = 2,764.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.