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Finding the Fourth Proportional to 5,637.50, 7,735.38 and 5,324.03

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Solution

The fourth proportional to 5,637.50, 7,735.38 and 5,324.03 is: 7,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.50 : 7,735.38 = 5,324.03 : x
  2. Step 2: Convert to fraction form
    5,637.50/7,735.38 = 5,324.03/x
  3. Step 3: Cross multiply
    5,637.50x = 7,735.38 × 5,324.03
  4. Step 4: Simplify right side
    5,637.50x = 41,183,329.88
  5. Step 5: Solve for x
    x = 41,183,329.88/5,637.50
  6. Step 6: Final answer
    x = 7,305.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.