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Finding the Fourth Proportional to 3,642.20, 5,460.05 and 3,090.44

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Solution

The fourth proportional to 3,642.20, 5,460.05 and 3,090.44 is: 4,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.20 : 5,460.05 = 3,090.44 : x
  2. Step 2: Convert to fraction form
    3,642.20/5,460.05 = 3,090.44/x
  3. Step 3: Cross multiply
    3,642.20x = 5,460.05 × 3,090.44
  4. Step 4: Simplify right side
    3,642.20x = 16,873,929.62
  5. Step 5: Solve for x
    x = 16,873,929.62/3,642.20
  6. Step 6: Final answer
    x = 4,632.90

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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.