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Finding the Fourth Proportional to 4,775.69, 7,155.06 and 1,996.24

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Solution

The fourth proportional to 4,775.69, 7,155.06 and 1,996.24 is: 2,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.69 : 7,155.06 = 1,996.24 : x
  2. Step 2: Convert to fraction form
    4,775.69/7,155.06 = 1,996.24/x
  3. Step 3: Cross multiply
    4,775.69x = 7,155.06 × 1,996.24
  4. Step 4: Simplify right side
    4,775.69x = 14,283,181.20
  5. Step 5: Solve for x
    x = 14,283,181.20/4,775.69
  6. Step 6: Final answer
    x = 2,990.81

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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.