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Finding the Fourth Proportional to 3,361.96, 5,042.94 and 1,053.48

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Solution

The fourth proportional to 3,361.96, 5,042.94 and 1,053.48 is: 1,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.96 : 5,042.94 = 1,053.48 : x
  2. Step 2: Convert to fraction form
    3,361.96/5,042.94 = 1,053.48/x
  3. Step 3: Cross multiply
    3,361.96x = 5,042.94 × 1,053.48
  4. Step 4: Simplify right side
    3,361.96x = 5,312,636.43
  5. Step 5: Solve for x
    x = 5,312,636.43/3,361.96
  6. Step 6: Final answer
    x = 1,580.22

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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.