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Finding the Fourth Proportional to 4,674.36, 7,016.61 and 4,157.68

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Solution

The fourth proportional to 4,674.36, 7,016.61 and 4,157.68 is: 6,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.36 : 7,016.61 = 4,157.68 : x
  2. Step 2: Convert to fraction form
    4,674.36/7,016.61 = 4,157.68/x
  3. Step 3: Cross multiply
    4,674.36x = 7,016.61 × 4,157.68
  4. Step 4: Simplify right side
    4,674.36x = 29,172,819.06
  5. Step 5: Solve for x
    x = 29,172,819.06/4,674.36
  6. Step 6: Final answer
    x = 6,241.03

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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.