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Finding the Fourth Proportional to 5,812.71, 8,716.89 and 2,113.86

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Solution

The fourth proportional to 5,812.71, 8,716.89 and 2,113.86 is: 3,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.71 : 8,716.89 = 2,113.86 : x
  2. Step 2: Convert to fraction form
    5,812.71/8,716.89 = 2,113.86/x
  3. Step 3: Cross multiply
    5,812.71x = 8,716.89 × 2,113.86
  4. Step 4: Simplify right side
    5,812.71x = 18,426,285.10
  5. Step 5: Solve for x
    x = 18,426,285.10/5,812.71
  6. Step 6: Final answer
    x = 3,170.00

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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.