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Finding the Fourth Proportional to 3,538, 5,308.17 and 1,894.18

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Solution

The fourth proportional to 3,538, 5,308.17 and 1,894.18 is: 2,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 5,308.17 = 1,894.18 : x
  2. Step 2: Convert to fraction form
    3,538/5,308.17 = 1,894.18/x
  3. Step 3: Cross multiply
    3,538x = 5,308.17 × 1,894.18
  4. Step 4: Simplify right side
    3,538x = 10,054,629.45
  5. Step 5: Solve for x
    x = 10,054,629.45/3,538
  6. Step 6: Final answer
    x = 2,841.90

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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.