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Finding the Fourth Proportional to 6,075.65, 8,384.36 and 3,423.91

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Solution

The fourth proportional to 6,075.65, 8,384.36 and 3,423.91 is: 4,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.65 : 8,384.36 = 3,423.91 : x
  2. Step 2: Convert to fraction form
    6,075.65/8,384.36 = 3,423.91/x
  3. Step 3: Cross multiply
    6,075.65x = 8,384.36 × 3,423.91
  4. Step 4: Simplify right side
    6,075.65x = 28,707,294.05
  5. Step 5: Solve for x
    x = 28,707,294.05/6,075.65
  6. Step 6: Final answer
    x = 4,724.97

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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.