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Finding the Fourth Proportional to 5,812.18, 8,716.15 and 3,181.63

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Solution

The fourth proportional to 5,812.18, 8,716.15 and 3,181.63 is: 4,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.18 : 8,716.15 = 3,181.63 : x
  2. Step 2: Convert to fraction form
    5,812.18/8,716.15 = 3,181.63/x
  3. Step 3: Cross multiply
    5,812.18x = 8,716.15 × 3,181.63
  4. Step 4: Simplify right side
    5,812.18x = 27,731,564.32
  5. Step 5: Solve for x
    x = 27,731,564.32/5,812.18
  6. Step 6: Final answer
    x = 4,771.28

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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.