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Finding the Fourth Proportional to 6,735.64, 10,101.30 and 2,839

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Solution

The fourth proportional to 6,735.64, 10,101.30 and 2,839 is: 4,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.64 : 10,101.30 = 2,839 : x
  2. Step 2: Convert to fraction form
    6,735.64/10,101.30 = 2,839/x
  3. Step 3: Cross multiply
    6,735.64x = 10,101.30 × 2,839
  4. Step 4: Simplify right side
    6,735.64x = 28,677,590.70
  5. Step 5: Solve for x
    x = 28,677,590.70/6,735.64
  6. Step 6: Final answer
    x = 4,257.59

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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.