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Finding the Fourth Proportional to 6,075.24, 8,384.13 and 3,422.94

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Solution

The fourth proportional to 6,075.24, 8,384.13 and 3,422.94 is: 4,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.24 : 8,384.13 = 3,422.94 : x
  2. Step 2: Convert to fraction form
    6,075.24/8,384.13 = 3,422.94/x
  3. Step 3: Cross multiply
    6,075.24x = 8,384.13 × 3,422.94
  4. Step 4: Simplify right side
    6,075.24x = 28,698,373.94
  5. Step 5: Solve for x
    x = 28,698,373.94/6,075.24
  6. Step 6: Final answer
    x = 4,723.83

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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.