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Finding the Fourth Proportional to 4,761.82, 6,573.03 and 3,876.08

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Solution

The fourth proportional to 4,761.82, 6,573.03 and 3,876.08 is: 5,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.82 : 6,573.03 = 3,876.08 : x
  2. Step 2: Convert to fraction form
    4,761.82/6,573.03 = 3,876.08/x
  3. Step 3: Cross multiply
    4,761.82x = 6,573.03 × 3,876.08
  4. Step 4: Simplify right side
    4,761.82x = 25,477,590.12
  5. Step 5: Solve for x
    x = 25,477,590.12/4,761.82
  6. Step 6: Final answer
    x = 5,350.39

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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.