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Finding the Fourth Proportional to 3,538.14, 5,304.14 and 1,781.67

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Solution

The fourth proportional to 3,538.14, 5,304.14 and 1,781.67 is: 2,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.14 : 5,304.14 = 1,781.67 : x
  2. Step 2: Convert to fraction form
    3,538.14/5,304.14 = 1,781.67/x
  3. Step 3: Cross multiply
    3,538.14x = 5,304.14 × 1,781.67
  4. Step 4: Simplify right side
    3,538.14x = 9,450,231.11
  5. Step 5: Solve for x
    x = 9,450,231.11/3,538.14
  6. Step 6: Final answer
    x = 2,670.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.