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Finding the Fourth Proportional to 3,090.54, 4,636.41 and 1,089.42

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Solution

The fourth proportional to 3,090.54, 4,636.41 and 1,089.42 is: 1,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.54 : 4,636.41 = 1,089.42 : x
  2. Step 2: Convert to fraction form
    3,090.54/4,636.41 = 1,089.42/x
  3. Step 3: Cross multiply
    3,090.54x = 4,636.41 × 1,089.42
  4. Step 4: Simplify right side
    3,090.54x = 5,050,997.78
  5. Step 5: Solve for x
    x = 5,050,997.78/3,090.54
  6. Step 6: Final answer
    x = 1,634.34

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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.