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Finding the Fourth Proportional to 3,677.03, 5,074.43 and 2,164.32

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Solution

The fourth proportional to 3,677.03, 5,074.43 and 2,164.32 is: 2,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.03 : 5,074.43 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    3,677.03/5,074.43 = 2,164.32/x
  3. Step 3: Cross multiply
    3,677.03x = 5,074.43 × 2,164.32
  4. Step 4: Simplify right side
    3,677.03x = 10,982,678.58
  5. Step 5: Solve for x
    x = 10,982,678.58/3,677.03
  6. Step 6: Final answer
    x = 2,986.83

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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.