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Finding the Fourth Proportional to 3,404.12, 4,696.34 and 2,075.54

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Solution

The fourth proportional to 3,404.12, 4,696.34 and 2,075.54 is: 2,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.12 : 4,696.34 = 2,075.54 : x
  2. Step 2: Convert to fraction form
    3,404.12/4,696.34 = 2,075.54/x
  3. Step 3: Cross multiply
    3,404.12x = 4,696.34 × 2,075.54
  4. Step 4: Simplify right side
    3,404.12x = 9,747,407.66
  5. Step 5: Solve for x
    x = 9,747,407.66/3,404.12
  6. Step 6: Final answer
    x = 2,863.42

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