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Finding the Fourth Proportional to 3,895.56, 5,377.42 and 2,636

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Solution

The fourth proportional to 3,895.56, 5,377.42 and 2,636 is: 3,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.56 : 5,377.42 = 2,636 : x
  2. Step 2: Convert to fraction form
    3,895.56/5,377.42 = 2,636/x
  3. Step 3: Cross multiply
    3,895.56x = 5,377.42 × 2,636
  4. Step 4: Simplify right side
    3,895.56x = 14,174,879.12
  5. Step 5: Solve for x
    x = 14,174,879.12/3,895.56
  6. Step 6: Final answer
    x = 3,638.73

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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.