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Finding the Fourth Proportional to 4,713.56, 6,497.27 and 3,766.37

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Solution

The fourth proportional to 4,713.56, 6,497.27 and 3,766.37 is: 5,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.56 : 6,497.27 = 3,766.37 : x
  2. Step 2: Convert to fraction form
    4,713.56/6,497.27 = 3,766.37/x
  3. Step 3: Cross multiply
    4,713.56x = 6,497.27 × 3,766.37
  4. Step 4: Simplify right side
    4,713.56x = 24,471,122.81
  5. Step 5: Solve for x
    x = 24,471,122.81/4,713.56
  6. Step 6: Final answer
    x = 5,191.64

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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.