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Finding the Fourth Proportional to 4,757.94, 7,133.13 and 2,157.84

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Solution

The fourth proportional to 4,757.94, 7,133.13 and 2,157.84 is: 3,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.94 : 7,133.13 = 2,157.84 : x
  2. Step 2: Convert to fraction form
    4,757.94/7,133.13 = 2,157.84/x
  3. Step 3: Cross multiply
    4,757.94x = 7,133.13 × 2,157.84
  4. Step 4: Simplify right side
    4,757.94x = 15,392,153.24
  5. Step 5: Solve for x
    x = 15,392,153.24/4,757.94
  6. Step 6: Final answer
    x = 3,235.05

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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.