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Finding the Fourth Proportional to 4,597.96, 6,896.82 and 1,676.32

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Solution

The fourth proportional to 4,597.96, 6,896.82 and 1,676.32 is: 2,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.96 : 6,896.82 = 1,676.32 : x
  2. Step 2: Convert to fraction form
    4,597.96/6,896.82 = 1,676.32/x
  3. Step 3: Cross multiply
    4,597.96x = 6,896.82 × 1,676.32
  4. Step 4: Simplify right side
    4,597.96x = 11,561,277.30
  5. Step 5: Solve for x
    x = 11,561,277.30/4,597.96
  6. Step 6: Final answer
    x = 2,514.44

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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.