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Finding the Fourth Proportional to 3,214.32, 4,813.91 and 2,697.63

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Solution

The fourth proportional to 3,214.32, 4,813.91 and 2,697.63 is: 4,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.32 : 4,813.91 = 2,697.63 : x
  2. Step 2: Convert to fraction form
    3,214.32/4,813.91 = 2,697.63/x
  3. Step 3: Cross multiply
    3,214.32x = 4,813.91 × 2,697.63
  4. Step 4: Simplify right side
    3,214.32x = 12,986,134.55
  5. Step 5: Solve for x
    x = 12,986,134.55/3,214.32
  6. Step 6: Final answer
    x = 4,040.09

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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.