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Finding the Fourth Proportional to 5,811.84, 8,717.60 and 2,114.14

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Solution

The fourth proportional to 5,811.84, 8,717.60 and 2,114.14 is: 3,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,717.60 = 2,114.14 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,717.60 = 2,114.14/x
  3. Step 3: Cross multiply
    5,811.84x = 8,717.60 × 2,114.14
  4. Step 4: Simplify right side
    5,811.84x = 18,430,232.15
  5. Step 5: Solve for x
    x = 18,430,232.15/5,811.84
  6. Step 6: Final answer
    x = 3,171.15

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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.