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Finding the Fourth Proportional to 4,744.21, 7,101.73 and 4,044.37

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Solution

The fourth proportional to 4,744.21, 7,101.73 and 4,044.37 is: 6,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.21 : 7,101.73 = 4,044.37 : x
  2. Step 2: Convert to fraction form
    4,744.21/7,101.73 = 4,044.37/x
  3. Step 3: Cross multiply
    4,744.21x = 7,101.73 × 4,044.37
  4. Step 4: Simplify right side
    4,744.21x = 28,722,023.76
  5. Step 5: Solve for x
    x = 28,722,023.76/4,744.21
  6. Step 6: Final answer
    x = 6,054.12

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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.