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Finding the Fourth Proportional to 6,514.25, 8,994.11 and 4,159.58

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Solution

The fourth proportional to 6,514.25, 8,994.11 and 4,159.58 is: 5,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.25 : 8,994.11 = 4,159.58 : x
  2. Step 2: Convert to fraction form
    6,514.25/8,994.11 = 4,159.58/x
  3. Step 3: Cross multiply
    6,514.25x = 8,994.11 × 4,159.58
  4. Step 4: Simplify right side
    6,514.25x = 37,411,654.31
  5. Step 5: Solve for x
    x = 37,411,654.31/6,514.25
  6. Step 6: Final answer
    x = 5,743.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.