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Finding the Fourth Proportional to 5,033.47, 7,544.05 and 2,257.34

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Solution

The fourth proportional to 5,033.47, 7,544.05 and 2,257.34 is: 3,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.47 : 7,544.05 = 2,257.34 : x
  2. Step 2: Convert to fraction form
    5,033.47/7,544.05 = 2,257.34/x
  3. Step 3: Cross multiply
    5,033.47x = 7,544.05 × 2,257.34
  4. Step 4: Simplify right side
    5,033.47x = 17,029,485.83
  5. Step 5: Solve for x
    x = 17,029,485.83/5,033.47
  6. Step 6: Final answer
    x = 3,383.25

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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.