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Finding the Fourth Proportional to 4,527.65, 6,794.05 and 2,447.61

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Solution

The fourth proportional to 4,527.65, 6,794.05 and 2,447.61 is: 3,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.65 : 6,794.05 = 2,447.61 : x
  2. Step 2: Convert to fraction form
    4,527.65/6,794.05 = 2,447.61/x
  3. Step 3: Cross multiply
    4,527.65x = 6,794.05 × 2,447.61
  4. Step 4: Simplify right side
    4,527.65x = 16,629,138.51
  5. Step 5: Solve for x
    x = 16,629,138.51/4,527.65
  6. Step 6: Final answer
    x = 3,672.80

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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.