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Finding the Fourth Proportional to 5,408.78, 7,464.12 and 2,924.78

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Solution

The fourth proportional to 5,408.78, 7,464.12 and 2,924.78 is: 4,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.78 : 7,464.12 = 2,924.78 : x
  2. Step 2: Convert to fraction form
    5,408.78/7,464.12 = 2,924.78/x
  3. Step 3: Cross multiply
    5,408.78x = 7,464.12 × 2,924.78
  4. Step 4: Simplify right side
    5,408.78x = 21,830,920.24
  5. Step 5: Solve for x
    x = 21,830,920.24/5,408.78
  6. Step 6: Final answer
    x = 4,036.20

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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.