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Finding the Fourth Proportional to 4,676.32, 6,453.93 and 3,259.09

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Solution

The fourth proportional to 4,676.32, 6,453.93 and 3,259.09 is: 4,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.32 : 6,453.93 = 3,259.09 : x
  2. Step 2: Convert to fraction form
    4,676.32/6,453.93 = 3,259.09/x
  3. Step 3: Cross multiply
    4,676.32x = 6,453.93 × 3,259.09
  4. Step 4: Simplify right side
    4,676.32x = 21,033,934.81
  5. Step 5: Solve for x
    x = 21,033,934.81/4,676.32
  6. Step 6: Final answer
    x = 4,497.97

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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.