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Finding the Fourth Proportional to 6,384.40, 9,583.80 and 3,788.80

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Solution

The fourth proportional to 6,384.40, 9,583.80 and 3,788.80 is: 5,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.40 : 9,583.80 = 3,788.80 : x
  2. Step 2: Convert to fraction form
    6,384.40/9,583.80 = 3,788.80/x
  3. Step 3: Cross multiply
    6,384.40x = 9,583.80 × 3,788.80
  4. Step 4: Simplify right side
    6,384.40x = 36,311,101.44
  5. Step 5: Solve for x
    x = 36,311,101.44/6,384.40
  6. Step 6: Final answer
    x = 5,687.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.