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Finding the Fourth Proportional to 3,860.06, 5,790.09 and 2,564.06

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Solution

The fourth proportional to 3,860.06, 5,790.09 and 2,564.06 is: 3,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.06 : 5,790.09 = 2,564.06 : x
  2. Step 2: Convert to fraction form
    3,860.06/5,790.09 = 2,564.06/x
  3. Step 3: Cross multiply
    3,860.06x = 5,790.09 × 2,564.06
  4. Step 4: Simplify right side
    3,860.06x = 14,846,138.17
  5. Step 5: Solve for x
    x = 14,846,138.17/3,860.06
  6. Step 6: Final answer
    x = 3,846.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.