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Finding the Fourth Proportional to 3,564.78, 4,912.74 and 2,568.30

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Solution

The fourth proportional to 3,564.78, 4,912.74 and 2,568.30 is: 3,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.78 : 4,912.74 = 2,568.30 : x
  2. Step 2: Convert to fraction form
    3,564.78/4,912.74 = 2,568.30/x
  3. Step 3: Cross multiply
    3,564.78x = 4,912.74 × 2,568.30
  4. Step 4: Simplify right side
    3,564.78x = 12,617,390.14
  5. Step 5: Solve for x
    x = 12,617,390.14/3,564.78
  6. Step 6: Final answer
    x = 3,539.46

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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.