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Finding the Fourth Proportional to 6,075.85, 8,384.49 and 3,423.20

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Solution

The fourth proportional to 6,075.85, 8,384.49 and 3,423.20 is: 4,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.85 : 8,384.49 = 3,423.20 : x
  2. Step 2: Convert to fraction form
    6,075.85/8,384.49 = 3,423.20/x
  3. Step 3: Cross multiply
    6,075.85x = 8,384.49 × 3,423.20
  4. Step 4: Simplify right side
    6,075.85x = 28,701,786.17
  5. Step 5: Solve for x
    x = 28,701,786.17/6,075.85
  6. Step 6: Final answer
    x = 4,723.91

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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.