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Finding the Fourth Proportional to 6,075.98, 8,384.18 and 3,422.84

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Solution

The fourth proportional to 6,075.98, 8,384.18 and 3,422.84 is: 4,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.98 : 8,384.18 = 3,422.84 : x
  2. Step 2: Convert to fraction form
    6,075.98/8,384.18 = 3,422.84/x
  3. Step 3: Cross multiply
    6,075.98x = 8,384.18 × 3,422.84
  4. Step 4: Simplify right side
    6,075.98x = 28,697,706.67
  5. Step 5: Solve for x
    x = 28,697,706.67/6,075.98
  6. Step 6: Final answer
    x = 4,723.14

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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.