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Finding the Fourth Proportional to 5,709.62, 8,564.43 and 2,012.14

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Solution

The fourth proportional to 5,709.62, 8,564.43 and 2,012.14 is: 3,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.62 : 8,564.43 = 2,012.14 : x
  2. Step 2: Convert to fraction form
    5,709.62/8,564.43 = 2,012.14/x
  3. Step 3: Cross multiply
    5,709.62x = 8,564.43 × 2,012.14
  4. Step 4: Simplify right side
    5,709.62x = 17,232,804.80
  5. Step 5: Solve for x
    x = 17,232,804.80/5,709.62
  6. Step 6: Final answer
    x = 3,018.21

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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.