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Finding the Fourth Proportional to 3,406.31, 5,109.59 and 941.32

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Solution

The fourth proportional to 3,406.31, 5,109.59 and 941.32 is: 1,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.31 : 5,109.59 = 941.32 : x
  2. Step 2: Convert to fraction form
    3,406.31/5,109.59 = 941.32/x
  3. Step 3: Cross multiply
    3,406.31x = 5,109.59 × 941.32
  4. Step 4: Simplify right side
    3,406.31x = 4,809,760.94
  5. Step 5: Solve for x
    x = 4,809,760.94/3,406.31
  6. Step 6: Final answer
    x = 1,412.01

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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.