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Finding the Fourth Proportional to 4,536.34, 6,801.24 and 2,069.92

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Solution

The fourth proportional to 4,536.34, 6,801.24 and 2,069.92 is: 3,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.34 : 6,801.24 = 2,069.92 : x
  2. Step 2: Convert to fraction form
    4,536.34/6,801.24 = 2,069.92/x
  3. Step 3: Cross multiply
    4,536.34x = 6,801.24 × 2,069.92
  4. Step 4: Simplify right side
    4,536.34x = 14,078,022.70
  5. Step 5: Solve for x
    x = 14,078,022.70/4,536.34
  6. Step 6: Final answer
    x = 3,103.39

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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.