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Finding the Fourth Proportional to 4,777.56, 7,167.42 and 3,611.16

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Solution

The fourth proportional to 4,777.56, 7,167.42 and 3,611.16 is: 5,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.56 : 7,167.42 = 3,611.16 : x
  2. Step 2: Convert to fraction form
    4,777.56/7,167.42 = 3,611.16/x
  3. Step 3: Cross multiply
    4,777.56x = 7,167.42 × 3,611.16
  4. Step 4: Simplify right side
    4,777.56x = 25,882,700.41
  5. Step 5: Solve for x
    x = 25,882,700.41/4,777.56
  6. Step 6: Final answer
    x = 5,417.56

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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.