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Finding the Fourth Proportional to 6,075.78, 8,384.94 and 3,423.30

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Solution

The fourth proportional to 6,075.78, 8,384.94 and 3,423.30 is: 4,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.78 : 8,384.94 = 3,423.30 : x
  2. Step 2: Convert to fraction form
    6,075.78/8,384.94 = 3,423.30/x
  3. Step 3: Cross multiply
    6,075.78x = 8,384.94 × 3,423.30
  4. Step 4: Simplify right side
    6,075.78x = 28,704,165.10
  5. Step 5: Solve for x
    x = 28,704,165.10/6,075.78
  6. Step 6: Final answer
    x = 4,724.36

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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.