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Finding the Fourth Proportional to 4,467, 6,164.52 and 2,605.08

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Solution

The fourth proportional to 4,467, 6,164.52 and 2,605.08 is: 3,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467 : 6,164.52 = 2,605.08 : x
  2. Step 2: Convert to fraction form
    4,467/6,164.52 = 2,605.08/x
  3. Step 3: Cross multiply
    4,467x = 6,164.52 × 2,605.08
  4. Step 4: Simplify right side
    4,467x = 16,059,067.76
  5. Step 5: Solve for x
    x = 16,059,067.76/4,467
  6. Step 6: Final answer
    x = 3,595.05

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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.