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Finding the Fourth Proportional to 4,157.27, 5,736.80 and 2,364.50

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Solution

The fourth proportional to 4,157.27, 5,736.80 and 2,364.50 is: 3,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.27 : 5,736.80 = 2,364.50 : x
  2. Step 2: Convert to fraction form
    4,157.27/5,736.80 = 2,364.50/x
  3. Step 3: Cross multiply
    4,157.27x = 5,736.80 × 2,364.50
  4. Step 4: Simplify right side
    4,157.27x = 13,564,623.09
  5. Step 5: Solve for x
    x = 13,564,623.09/4,157.27
  6. Step 6: Final answer
    x = 3,262.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.