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Finding the Fourth Proportional to 3,802.33, 5,704.41 and 1,205.27

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Solution

The fourth proportional to 3,802.33, 5,704.41 and 1,205.27 is: 1,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.33 : 5,704.41 = 1,205.27 : x
  2. Step 2: Convert to fraction form
    3,802.33/5,704.41 = 1,205.27/x
  3. Step 3: Cross multiply
    3,802.33x = 5,704.41 × 1,205.27
  4. Step 4: Simplify right side
    3,802.33x = 6,875,322.71
  5. Step 5: Solve for x
    x = 6,875,322.71/3,802.33
  6. Step 6: Final answer
    x = 1,808.19

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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.