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Finding the Fourth Proportional to 5,302.14, 7,933.77 and 5,172.54

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Solution

The fourth proportional to 5,302.14, 7,933.77 and 5,172.54 is: 7,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.14 : 7,933.77 = 5,172.54 : x
  2. Step 2: Convert to fraction form
    5,302.14/7,933.77 = 5,172.54/x
  3. Step 3: Cross multiply
    5,302.14x = 7,933.77 × 5,172.54
  4. Step 4: Simplify right side
    5,302.14x = 41,037,742.68
  5. Step 5: Solve for x
    x = 41,037,742.68/5,302.14
  6. Step 6: Final answer
    x = 7,739.85

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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.