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Finding the Fourth Proportional to 4,825.36, 6,653.16 and 4,078

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Solution

The fourth proportional to 4,825.36, 6,653.16 and 4,078 is: 5,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.36 : 6,653.16 = 4,078 : x
  2. Step 2: Convert to fraction form
    4,825.36/6,653.16 = 4,078/x
  3. Step 3: Cross multiply
    4,825.36x = 6,653.16 × 4,078
  4. Step 4: Simplify right side
    4,825.36x = 27,131,586.48
  5. Step 5: Solve for x
    x = 27,131,586.48/4,825.36
  6. Step 6: Final answer
    x = 5,622.71

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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.