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Finding the Fourth Proportional to 3,177.80, 4,363.09 and 2,583.80

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Solution

The fourth proportional to 3,177.80, 4,363.09 and 2,583.80 is: 3,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.80 : 4,363.09 = 2,583.80 : x
  2. Step 2: Convert to fraction form
    3,177.80/4,363.09 = 2,583.80/x
  3. Step 3: Cross multiply
    3,177.80x = 4,363.09 × 2,583.80
  4. Step 4: Simplify right side
    3,177.80x = 11,273,351.94
  5. Step 5: Solve for x
    x = 11,273,351.94/3,177.80
  6. Step 6: Final answer
    x = 3,547.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.