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Finding the Fourth Proportional to 4,924.44, 7,384.12 and 1,636.32

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Solution

The fourth proportional to 4,924.44, 7,384.12 and 1,636.32 is: 2,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.44 : 7,384.12 = 1,636.32 : x
  2. Step 2: Convert to fraction form
    4,924.44/7,384.12 = 1,636.32/x
  3. Step 3: Cross multiply
    4,924.44x = 7,384.12 × 1,636.32
  4. Step 4: Simplify right side
    4,924.44x = 12,082,783.24
  5. Step 5: Solve for x
    x = 12,082,783.24/4,924.44
  6. Step 6: Final answer
    x = 2,453.64

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