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Finding the Fourth Proportional to 5,539.40, 7,644.40 and 3,021.50

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Solution

The fourth proportional to 5,539.40, 7,644.40 and 3,021.50 is: 4,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.40 : 7,644.40 = 3,021.50 : x
  2. Step 2: Convert to fraction form
    5,539.40/7,644.40 = 3,021.50/x
  3. Step 3: Cross multiply
    5,539.40x = 7,644.40 × 3,021.50
  4. Step 4: Simplify right side
    5,539.40x = 23,097,508.82
  5. Step 5: Solve for x
    x = 23,097,508.82/5,539.40
  6. Step 6: Final answer
    x = 4,169.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.