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Finding the Fourth Proportional to 5,452.34, 7,525.17 and 3,094.43

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Solution

The fourth proportional to 5,452.34, 7,525.17 and 3,094.43 is: 4,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.34 : 7,525.17 = 3,094.43 : x
  2. Step 2: Convert to fraction form
    5,452.34/7,525.17 = 3,094.43/x
  3. Step 3: Cross multiply
    5,452.34x = 7,525.17 × 3,094.43
  4. Step 4: Simplify right side
    5,452.34x = 23,286,074.18
  5. Step 5: Solve for x
    x = 23,286,074.18/5,452.34
  6. Step 6: Final answer
    x = 4,270.84

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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.