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Finding the Fourth Proportional to 3,384.96, 5,077.27 and 1,164.01

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Solution

The fourth proportional to 3,384.96, 5,077.27 and 1,164.01 is: 1,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.96 : 5,077.27 = 1,164.01 : x
  2. Step 2: Convert to fraction form
    3,384.96/5,077.27 = 1,164.01/x
  3. Step 3: Cross multiply
    3,384.96x = 5,077.27 × 1,164.01
  4. Step 4: Simplify right side
    3,384.96x = 5,909,991.33
  5. Step 5: Solve for x
    x = 5,909,991.33/3,384.96
  6. Step 6: Final answer
    x = 1,745.96

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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.