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Finding the Fourth Proportional to 5,291.70, 7,940.84 and 2,004.36

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Solution

The fourth proportional to 5,291.70, 7,940.84 and 2,004.36 is: 3,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.70 : 7,940.84 = 2,004.36 : x
  2. Step 2: Convert to fraction form
    5,291.70/7,940.84 = 2,004.36/x
  3. Step 3: Cross multiply
    5,291.70x = 7,940.84 × 2,004.36
  4. Step 4: Simplify right side
    5,291.70x = 15,916,292.04
  5. Step 5: Solve for x
    x = 15,916,292.04/5,291.70
  6. Step 6: Final answer
    x = 3,007.78

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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.