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Finding the Fourth Proportional to 3,406.26, 5,109.38 and 941.07

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Solution

The fourth proportional to 3,406.26, 5,109.38 and 941.07 is: 1,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.26 : 5,109.38 = 941.07 : x
  2. Step 2: Convert to fraction form
    3,406.26/5,109.38 = 941.07/x
  3. Step 3: Cross multiply
    3,406.26x = 5,109.38 × 941.07
  4. Step 4: Simplify right side
    3,406.26x = 4,808,305.81
  5. Step 5: Solve for x
    x = 4,808,305.81/3,406.26
  6. Step 6: Final answer
    x = 1,411.61

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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.