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Finding the Fourth Proportional to 4,882.51, 6,738.97 and 3,178.02

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Solution

The fourth proportional to 4,882.51, 6,738.97 and 3,178.02 is: 4,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.51 : 6,738.97 = 3,178.02 : x
  2. Step 2: Convert to fraction form
    4,882.51/6,738.97 = 3,178.02/x
  3. Step 3: Cross multiply
    4,882.51x = 6,738.97 × 3,178.02
  4. Step 4: Simplify right side
    4,882.51x = 21,416,581.44
  5. Step 5: Solve for x
    x = 21,416,581.44/4,882.51
  6. Step 6: Final answer
    x = 4,386.39

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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.