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Finding the Fourth Proportional to 6,514.44, 8,994.38 and 4,159.77

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Solution

The fourth proportional to 6,514.44, 8,994.38 and 4,159.77 is: 5,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.44 : 8,994.38 = 4,159.77 : x
  2. Step 2: Convert to fraction form
    6,514.44/8,994.38 = 4,159.77/x
  3. Step 3: Cross multiply
    6,514.44x = 8,994.38 × 4,159.77
  4. Step 4: Simplify right side
    6,514.44x = 37,414,531.29
  5. Step 5: Solve for x
    x = 37,414,531.29/6,514.44
  6. Step 6: Final answer
    x = 5,743.32

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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.