Home / 3,406.34-5,109.80-941.16

Finding the Fourth Proportional to 3,406.34, 5,109.80 and 941.16

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Solution

The fourth proportional to 3,406.34, 5,109.80 and 941.16 is: 1,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.34 : 5,109.80 = 941.16 : x
  2. Step 2: Convert to fraction form
    3,406.34/5,109.80 = 941.16/x
  3. Step 3: Cross multiply
    3,406.34x = 5,109.80 × 941.16
  4. Step 4: Simplify right side
    3,406.34x = 4,809,109.11
  5. Step 5: Solve for x
    x = 4,809,109.11/3,406.34
  6. Step 6: Final answer
    x = 1,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.