Home / 3,406.40-5,104.56-1,946

Finding the Fourth Proportional to 3,406.40, 5,104.56 and 1,946

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Solution

The fourth proportional to 3,406.40, 5,104.56 and 1,946 is: 2,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.40 : 5,104.56 = 1,946 : x
  2. Step 2: Convert to fraction form
    3,406.40/5,104.56 = 1,946/x
  3. Step 3: Cross multiply
    3,406.40x = 5,104.56 × 1,946
  4. Step 4: Simplify right side
    3,406.40x = 9,933,473.76
  5. Step 5: Solve for x
    x = 9,933,473.76/3,406.40
  6. Step 6: Final answer
    x = 2,916.12

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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.