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Finding the Fourth Proportional to 3,409.95, 5,111.67 and 1,946.28

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Solution

The fourth proportional to 3,409.95, 5,111.67 and 1,946.28 is: 2,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.95 : 5,111.67 = 1,946.28 : x
  2. Step 2: Convert to fraction form
    3,409.95/5,111.67 = 1,946.28/x
  3. Step 3: Cross multiply
    3,409.95x = 5,111.67 × 1,946.28
  4. Step 4: Simplify right side
    3,409.95x = 9,948,741.09
  5. Step 5: Solve for x
    x = 9,948,741.09/3,409.95
  6. Step 6: Final answer
    x = 2,917.56

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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.