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Finding the Fourth Proportional to 5,872, 8,094 and 5,401.12

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Solution

The fourth proportional to 5,872, 8,094 and 5,401.12 is: 7,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 8,094 = 5,401.12 : x
  2. Step 2: Convert to fraction form
    5,872/8,094 = 5,401.12/x
  3. Step 3: Cross multiply
    5,872x = 8,094 × 5,401.12
  4. Step 4: Simplify right side
    5,872x = 43,716,665.28
  5. Step 5: Solve for x
    x = 43,716,665.28/5,872
  6. Step 6: Final answer
    x = 7,444.94

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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.