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Finding the Fourth Proportional to 5,811.78, 8,716.32 and 2,114.40

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Solution

The fourth proportional to 5,811.78, 8,716.32 and 2,114.40 is: 3,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.78 : 8,716.32 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    5,811.78/8,716.32 = 2,114.40/x
  3. Step 3: Cross multiply
    5,811.78x = 8,716.32 × 2,114.40
  4. Step 4: Simplify right side
    5,811.78x = 18,429,787.01
  5. Step 5: Solve for x
    x = 18,429,787.01/5,811.78
  6. Step 6: Final answer
    x = 3,171.11

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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.