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Finding the Fourth Proportional to 3,840.36, 5,300.04 and 2,161.80

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Solution

The fourth proportional to 3,840.36, 5,300.04 and 2,161.80 is: 2,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.36 : 5,300.04 = 2,161.80 : x
  2. Step 2: Convert to fraction form
    3,840.36/5,300.04 = 2,161.80/x
  3. Step 3: Cross multiply
    3,840.36x = 5,300.04 × 2,161.80
  4. Step 4: Simplify right side
    3,840.36x = 11,457,626.47
  5. Step 5: Solve for x
    x = 11,457,626.47/3,840.36
  6. Step 6: Final answer
    x = 2,983.48

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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.