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Finding the Fourth Proportional to 5,084, 7,016.52 and 2,846.24

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Solution

The fourth proportional to 5,084, 7,016.52 and 2,846.24 is: 3,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084 : 7,016.52 = 2,846.24 : x
  2. Step 2: Convert to fraction form
    5,084/7,016.52 = 2,846.24/x
  3. Step 3: Cross multiply
    5,084x = 7,016.52 × 2,846.24
  4. Step 4: Simplify right side
    5,084x = 19,970,699.88
  5. Step 5: Solve for x
    x = 19,970,699.88/5,084
  6. Step 6: Final answer
    x = 3,928.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.