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Finding the Fourth Proportional to 6,075.40, 8,382.90 and 3,422.68

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Solution

The fourth proportional to 6,075.40, 8,382.90 and 3,422.68 is: 4,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.40 : 8,382.90 = 3,422.68 : x
  2. Step 2: Convert to fraction form
    6,075.40/8,382.90 = 3,422.68/x
  3. Step 3: Cross multiply
    6,075.40x = 8,382.90 × 3,422.68
  4. Step 4: Simplify right side
    6,075.40x = 28,691,984.17
  5. Step 5: Solve for x
    x = 28,691,984.17/6,075.40
  6. Step 6: Final answer
    x = 4,722.65

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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.