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Finding the Fourth Proportional to 3,075.52, 4,609.78 and 2,704.61

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Solution

The fourth proportional to 3,075.52, 4,609.78 and 2,704.61 is: 4,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.52 : 4,609.78 = 2,704.61 : x
  2. Step 2: Convert to fraction form
    3,075.52/4,609.78 = 2,704.61/x
  3. Step 3: Cross multiply
    3,075.52x = 4,609.78 × 2,704.61
  4. Step 4: Simplify right side
    3,075.52x = 12,467,657.09
  5. Step 5: Solve for x
    x = 12,467,657.09/3,075.52
  6. Step 6: Final answer
    x = 4,053.84

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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.