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Finding the Fourth Proportional to 4,889.64, 7,334.42 and 1,191.87

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Solution

The fourth proportional to 4,889.64, 7,334.42 and 1,191.87 is: 1,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.64 : 7,334.42 = 1,191.87 : x
  2. Step 2: Convert to fraction form
    4,889.64/7,334.42 = 1,191.87/x
  3. Step 3: Cross multiply
    4,889.64x = 7,334.42 × 1,191.87
  4. Step 4: Simplify right side
    4,889.64x = 8,741,669.21
  5. Step 5: Solve for x
    x = 8,741,669.21/4,889.64
  6. Step 6: Final answer
    x = 1,787.79

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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.