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Finding the Fourth Proportional to 3,760.65, 5,641.43 and 1,294.83

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Solution

The fourth proportional to 3,760.65, 5,641.43 and 1,294.83 is: 1,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.65 : 5,641.43 = 1,294.83 : x
  2. Step 2: Convert to fraction form
    3,760.65/5,641.43 = 1,294.83/x
  3. Step 3: Cross multiply
    3,760.65x = 5,641.43 × 1,294.83
  4. Step 4: Simplify right side
    3,760.65x = 7,304,686.33
  5. Step 5: Solve for x
    x = 7,304,686.33/3,760.65
  6. Step 6: Final answer
    x = 1,942.40

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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.