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Finding the Fourth Proportional to 5,458.78, 8,189.40 and 1,996

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Solution

The fourth proportional to 5,458.78, 8,189.40 and 1,996 is: 2,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.78 : 8,189.40 = 1,996 : x
  2. Step 2: Convert to fraction form
    5,458.78/8,189.40 = 1,996/x
  3. Step 3: Cross multiply
    5,458.78x = 8,189.40 × 1,996
  4. Step 4: Simplify right side
    5,458.78x = 16,346,042.40
  5. Step 5: Solve for x
    x = 16,346,042.40/5,458.78
  6. Step 6: Final answer
    x = 2,994.45

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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.