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Finding the Fourth Proportional to 3,527.94, 5,294.57 and 2,414.69

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Solution

The fourth proportional to 3,527.94, 5,294.57 and 2,414.69 is: 3,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.94 : 5,294.57 = 2,414.69 : x
  2. Step 2: Convert to fraction form
    3,527.94/5,294.57 = 2,414.69/x
  3. Step 3: Cross multiply
    3,527.94x = 5,294.57 × 2,414.69
  4. Step 4: Simplify right side
    3,527.94x = 12,784,745.23
  5. Step 5: Solve for x
    x = 12,784,745.23/3,527.94
  6. Step 6: Final answer
    x = 3,623.86

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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.