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Finding the Fourth Proportional to 5,998.80, 9,002.70 and 3,075.60

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Solution

The fourth proportional to 5,998.80, 9,002.70 and 3,075.60 is: 4,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.80 : 9,002.70 = 3,075.60 : x
  2. Step 2: Convert to fraction form
    5,998.80/9,002.70 = 3,075.60/x
  3. Step 3: Cross multiply
    5,998.80x = 9,002.70 × 3,075.60
  4. Step 4: Simplify right side
    5,998.80x = 27,688,704.12
  5. Step 5: Solve for x
    x = 27,688,704.12/5,998.80
  6. Step 6: Final answer
    x = 4,615.71

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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.