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Finding the Fourth Proportional to 4,464.36, 6,686.82 and 2,151

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Solution

The fourth proportional to 4,464.36, 6,686.82 and 2,151 is: 3,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.36 : 6,686.82 = 2,151 : x
  2. Step 2: Convert to fraction form
    4,464.36/6,686.82 = 2,151/x
  3. Step 3: Cross multiply
    4,464.36x = 6,686.82 × 2,151
  4. Step 4: Simplify right side
    4,464.36x = 14,383,349.82
  5. Step 5: Solve for x
    x = 14,383,349.82/4,464.36
  6. Step 6: Final answer
    x = 3,221.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.