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Finding the Fourth Proportional to 4,956.56, 7,431.96 and 2,646.80

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Solution

The fourth proportional to 4,956.56, 7,431.96 and 2,646.80 is: 3,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.56 : 7,431.96 = 2,646.80 : x
  2. Step 2: Convert to fraction form
    4,956.56/7,431.96 = 2,646.80/x
  3. Step 3: Cross multiply
    4,956.56x = 7,431.96 × 2,646.80
  4. Step 4: Simplify right side
    4,956.56x = 19,670,911.73
  5. Step 5: Solve for x
    x = 19,670,911.73/4,956.56
  6. Step 6: Final answer
    x = 3,968.66

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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.