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Finding the Fourth Proportional to 5,223.21, 7,816.50 and 3,744.06

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Solution

The fourth proportional to 5,223.21, 7,816.50 and 3,744.06 is: 5,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.21 : 7,816.50 = 3,744.06 : x
  2. Step 2: Convert to fraction form
    5,223.21/7,816.50 = 3,744.06/x
  3. Step 3: Cross multiply
    5,223.21x = 7,816.50 × 3,744.06
  4. Step 4: Simplify right side
    5,223.21x = 29,265,415.68
  5. Step 5: Solve for x
    x = 29,265,415.68/5,223.21
  6. Step 6: Final answer
    x = 5,602.96

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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.