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Finding the Fourth Proportional to 4,843, 6,683.34 and 2,635

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Solution

The fourth proportional to 4,843, 6,683.34 and 2,635 is: 3,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843 : 6,683.34 = 2,635 : x
  2. Step 2: Convert to fraction form
    4,843/6,683.34 = 2,635/x
  3. Step 3: Cross multiply
    4,843x = 6,683.34 × 2,635
  4. Step 4: Simplify right side
    4,843x = 17,610,600.90
  5. Step 5: Solve for x
    x = 17,610,600.90/4,843
  6. Step 6: Final answer
    x = 3,636.30

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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.