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Finding the Fourth Proportional to 3,705.75, 5,538.17 and 2,971.89

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Solution

The fourth proportional to 3,705.75, 5,538.17 and 2,971.89 is: 4,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 5,538.17 = 2,971.89 : x
  2. Step 2: Convert to fraction form
    3,705.75/5,538.17 = 2,971.89/x
  3. Step 3: Cross multiply
    3,705.75x = 5,538.17 × 2,971.89
  4. Step 4: Simplify right side
    3,705.75x = 16,458,839.47
  5. Step 5: Solve for x
    x = 16,458,839.47/3,705.75
  6. Step 6: Final answer
    x = 4,441.43

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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.