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Finding the Fourth Proportional to 5,367.57, 7,410.84 and 3,354.06

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Solution

The fourth proportional to 5,367.57, 7,410.84 and 3,354.06 is: 4,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.57 : 7,410.84 = 3,354.06 : x
  2. Step 2: Convert to fraction form
    5,367.57/7,410.84 = 3,354.06/x
  3. Step 3: Cross multiply
    5,367.57x = 7,410.84 × 3,354.06
  4. Step 4: Simplify right side
    5,367.57x = 24,856,394.40
  5. Step 5: Solve for x
    x = 24,856,394.40/5,367.57
  6. Step 6: Final answer
    x = 4,630.85

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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.