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Finding the Fourth Proportional to 3,443.09, 5,164.37 and 1,103.34

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Solution

The fourth proportional to 3,443.09, 5,164.37 and 1,103.34 is: 1,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.09 : 5,164.37 = 1,103.34 : x
  2. Step 2: Convert to fraction form
    3,443.09/5,164.37 = 1,103.34/x
  3. Step 3: Cross multiply
    3,443.09x = 5,164.37 × 1,103.34
  4. Step 4: Simplify right side
    3,443.09x = 5,698,056.00
  5. Step 5: Solve for x
    x = 5,698,056.00/3,443.09
  6. Step 6: Final answer
    x = 1,654.93

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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.