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Finding the Fourth Proportional to 3,920.81, 5,410.73 and 2,242.28

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Solution

The fourth proportional to 3,920.81, 5,410.73 and 2,242.28 is: 3,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.81 : 5,410.73 = 2,242.28 : x
  2. Step 2: Convert to fraction form
    3,920.81/5,410.73 = 2,242.28/x
  3. Step 3: Cross multiply
    3,920.81x = 5,410.73 × 2,242.28
  4. Step 4: Simplify right side
    3,920.81x = 12,132,390.80
  5. Step 5: Solve for x
    x = 12,132,390.80/3,920.81
  6. Step 6: Final answer
    x = 3,094.36

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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.