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Finding the Fourth Proportional to 3,075.36, 4,609.54 and 2,704.44

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Solution

The fourth proportional to 3,075.36, 4,609.54 and 2,704.44 is: 4,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.36 : 4,609.54 = 2,704.44 : x
  2. Step 2: Convert to fraction form
    3,075.36/4,609.54 = 2,704.44/x
  3. Step 3: Cross multiply
    3,075.36x = 4,609.54 × 2,704.44
  4. Step 4: Simplify right side
    3,075.36x = 12,466,211.49
  5. Step 5: Solve for x
    x = 12,466,211.49/3,075.36
  6. Step 6: Final answer
    x = 4,053.58

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