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Finding the Fourth Proportional to 3,584.36, 4,950.20 and 2,468.20

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Solution

The fourth proportional to 3,584.36, 4,950.20 and 2,468.20 is: 3,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.36 : 4,950.20 = 2,468.20 : x
  2. Step 2: Convert to fraction form
    3,584.36/4,950.20 = 2,468.20/x
  3. Step 3: Cross multiply
    3,584.36x = 4,950.20 × 2,468.20
  4. Step 4: Simplify right side
    3,584.36x = 12,218,083.64
  5. Step 5: Solve for x
    x = 12,218,083.64/3,584.36
  6. Step 6: Final answer
    x = 3,408.72

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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.