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Finding the Fourth Proportional to 3,273.78, 4,518.10 and 1,876.26

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Solution

The fourth proportional to 3,273.78, 4,518.10 and 1,876.26 is: 2,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.78 : 4,518.10 = 1,876.26 : x
  2. Step 2: Convert to fraction form
    3,273.78/4,518.10 = 1,876.26/x
  3. Step 3: Cross multiply
    3,273.78x = 4,518.10 × 1,876.26
  4. Step 4: Simplify right side
    3,273.78x = 8,477,130.31
  5. Step 5: Solve for x
    x = 8,477,130.31/3,273.78
  6. Step 6: Final answer
    x = 2,589.40

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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.