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Finding the Fourth Proportional to 3,404.36, 4,696.84 and 1,912.08

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Solution

The fourth proportional to 3,404.36, 4,696.84 and 1,912.08 is: 2,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.36 : 4,696.84 = 1,912.08 : x
  2. Step 2: Convert to fraction form
    3,404.36/4,696.84 = 1,912.08/x
  3. Step 3: Cross multiply
    3,404.36x = 4,696.84 × 1,912.08
  4. Step 4: Simplify right side
    3,404.36x = 8,980,733.83
  5. Step 5: Solve for x
    x = 8,980,733.83/3,404.36
  6. Step 6: Final answer
    x = 2,638.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.