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Finding the Fourth Proportional to 3,214.36, 4,813.07 and 2,586.31

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Solution

The fourth proportional to 3,214.36, 4,813.07 and 2,586.31 is: 3,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.36 : 4,813.07 = 2,586.31 : x
  2. Step 2: Convert to fraction form
    3,214.36/4,813.07 = 2,586.31/x
  3. Step 3: Cross multiply
    3,214.36x = 4,813.07 × 2,586.31
  4. Step 4: Simplify right side
    3,214.36x = 12,448,091.07
  5. Step 5: Solve for x
    x = 12,448,091.07/3,214.36
  6. Step 6: Final answer
    x = 3,872.65

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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.