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Finding the Fourth Proportional to 3,464.44, 4,775.70 and 2,716.84

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Solution

The fourth proportional to 3,464.44, 4,775.70 and 2,716.84 is: 3,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.44 : 4,775.70 = 2,716.84 : x
  2. Step 2: Convert to fraction form
    3,464.44/4,775.70 = 2,716.84/x
  3. Step 3: Cross multiply
    3,464.44x = 4,775.70 × 2,716.84
  4. Step 4: Simplify right side
    3,464.44x = 12,974,812.79
  5. Step 5: Solve for x
    x = 12,974,812.79/3,464.44
  6. Step 6: Final answer
    x = 3,745.14

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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.