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Finding the Fourth Proportional to 3,586.87, 5,396.71 and 2,127.05

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Solution

The fourth proportional to 3,586.87, 5,396.71 and 2,127.05 is: 3,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.87 : 5,396.71 = 2,127.05 : x
  2. Step 2: Convert to fraction form
    3,586.87/5,396.71 = 2,127.05/x
  3. Step 3: Cross multiply
    3,586.87x = 5,396.71 × 2,127.05
  4. Step 4: Simplify right side
    3,586.87x = 11,479,072.01
  5. Step 5: Solve for x
    x = 11,479,072.01/3,586.87
  6. Step 6: Final answer
    x = 3,200.30

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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.