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Finding the Fourth Proportional to 3,907.04, 5,389.81 and 2,414.41

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Solution

The fourth proportional to 3,907.04, 5,389.81 and 2,414.41 is: 3,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.04 : 5,389.81 = 2,414.41 : x
  2. Step 2: Convert to fraction form
    3,907.04/5,389.81 = 2,414.41/x
  3. Step 3: Cross multiply
    3,907.04x = 5,389.81 × 2,414.41
  4. Step 4: Simplify right side
    3,907.04x = 13,013,191.65
  5. Step 5: Solve for x
    x = 13,013,191.65/3,907.04
  6. Step 6: Final answer
    x = 3,330.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.