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Finding the Fourth Proportional to 6,072.63, 8,383.87 and 3,980.40

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Solution

The fourth proportional to 6,072.63, 8,383.87 and 3,980.40 is: 5,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.63 : 8,383.87 = 3,980.40 : x
  2. Step 2: Convert to fraction form
    6,072.63/8,383.87 = 3,980.40/x
  3. Step 3: Cross multiply
    6,072.63x = 8,383.87 × 3,980.40
  4. Step 4: Simplify right side
    6,072.63x = 33,371,156.15
  5. Step 5: Solve for x
    x = 33,371,156.15/6,072.63
  6. Step 6: Final answer
    x = 5,495.34

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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.