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Finding the Fourth Proportional to 5,408.94, 7,464.34 and 2,924.94

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Solution

The fourth proportional to 5,408.94, 7,464.34 and 2,924.94 is: 4,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.94 : 7,464.34 = 2,924.94 : x
  2. Step 2: Convert to fraction form
    5,408.94/7,464.34 = 2,924.94/x
  3. Step 3: Cross multiply
    5,408.94x = 7,464.34 × 2,924.94
  4. Step 4: Simplify right side
    5,408.94x = 21,832,732.01
  5. Step 5: Solve for x
    x = 21,832,732.01/5,408.94
  6. Step 6: Final answer
    x = 4,036.42

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