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Finding the Fourth Proportional to 3,574.36, 5,361.27 and 1,109.22

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Solution

The fourth proportional to 3,574.36, 5,361.27 and 1,109.22 is: 1,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.36 : 5,361.27 = 1,109.22 : x
  2. Step 2: Convert to fraction form
    3,574.36/5,361.27 = 1,109.22/x
  3. Step 3: Cross multiply
    3,574.36x = 5,361.27 × 1,109.22
  4. Step 4: Simplify right side
    3,574.36x = 5,946,827.91
  5. Step 5: Solve for x
    x = 5,946,827.91/3,574.36
  6. Step 6: Final answer
    x = 1,663.75

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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.