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Finding the Fourth Proportional to 6,075.32, 8,380.77 and 3,836.39

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Solution

The fourth proportional to 6,075.32, 8,380.77 and 3,836.39 is: 5,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.32 : 8,380.77 = 3,836.39 : x
  2. Step 2: Convert to fraction form
    6,075.32/8,380.77 = 3,836.39/x
  3. Step 3: Cross multiply
    6,075.32x = 8,380.77 × 3,836.39
  4. Step 4: Simplify right side
    6,075.32x = 32,151,902.22
  5. Step 5: Solve for x
    x = 32,151,902.22/6,075.32
  6. Step 6: Final answer
    x = 5,292.22

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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.