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Finding the Fourth Proportional to 3,760.19, 5,640.08 and 1,294.95

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Solution

The fourth proportional to 3,760.19, 5,640.08 and 1,294.95 is: 1,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.19 : 5,640.08 = 1,294.95 : x
  2. Step 2: Convert to fraction form
    3,760.19/5,640.08 = 1,294.95/x
  3. Step 3: Cross multiply
    3,760.19x = 5,640.08 × 1,294.95
  4. Step 4: Simplify right side
    3,760.19x = 7,303,636.27
  5. Step 5: Solve for x
    x = 7,303,636.27/3,760.19
  6. Step 6: Final answer
    x = 1,942.36

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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.