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Finding the Fourth Proportional to 5,410.97, 7,467.48 and 3,053.06

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Solution

The fourth proportional to 5,410.97, 7,467.48 and 3,053.06 is: 4,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.97 : 7,467.48 = 3,053.06 : x
  2. Step 2: Convert to fraction form
    5,410.97/7,467.48 = 3,053.06/x
  3. Step 3: Cross multiply
    5,410.97x = 7,467.48 × 3,053.06
  4. Step 4: Simplify right side
    5,410.97x = 22,798,664.49
  5. Step 5: Solve for x
    x = 22,798,664.49/5,410.97
  6. Step 6: Final answer
    x = 4,213.42

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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.