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Finding the Fourth Proportional to 5,812.87, 8,021.85 and 3,160.29

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Solution

The fourth proportional to 5,812.87, 8,021.85 and 3,160.29 is: 4,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.87 : 8,021.85 = 3,160.29 : x
  2. Step 2: Convert to fraction form
    5,812.87/8,021.85 = 3,160.29/x
  3. Step 3: Cross multiply
    5,812.87x = 8,021.85 × 3,160.29
  4. Step 4: Simplify right side
    5,812.87x = 25,351,384.19
  5. Step 5: Solve for x
    x = 25,351,384.19/5,812.87
  6. Step 6: Final answer
    x = 4,361.25

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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.