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Finding the Fourth Proportional to 3,870.09, 5,767.05 and 3,636.34

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Solution

The fourth proportional to 3,870.09, 5,767.05 and 3,636.34 is: 5,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.09 : 5,767.05 = 3,636.34 : x
  2. Step 2: Convert to fraction form
    3,870.09/5,767.05 = 3,636.34/x
  3. Step 3: Cross multiply
    3,870.09x = 5,767.05 × 3,636.34
  4. Step 4: Simplify right side
    3,870.09x = 20,970,954.60
  5. Step 5: Solve for x
    x = 20,970,954.60/3,870.09
  6. Step 6: Final answer
    x = 5,418.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.