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Finding the Fourth Proportional to 5,077.70, 7,007.27 and 2,839.70

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Solution

The fourth proportional to 5,077.70, 7,007.27 and 2,839.70 is: 3,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.70 : 7,007.27 = 2,839.70 : x
  2. Step 2: Convert to fraction form
    5,077.70/7,007.27 = 2,839.70/x
  3. Step 3: Cross multiply
    5,077.70x = 7,007.27 × 2,839.70
  4. Step 4: Simplify right side
    5,077.70x = 19,898,495.38
  5. Step 5: Solve for x
    x = 19,898,495.38/5,077.70
  6. Step 6: Final answer
    x = 3,918.80

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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.