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Finding the Fourth Proportional to 3,071.56, 4,611.19 and 2,462.85

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Solution

The fourth proportional to 3,071.56, 4,611.19 and 2,462.85 is: 3,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.56 : 4,611.19 = 2,462.85 : x
  2. Step 2: Convert to fraction form
    3,071.56/4,611.19 = 2,462.85/x
  3. Step 3: Cross multiply
    3,071.56x = 4,611.19 × 2,462.85
  4. Step 4: Simplify right side
    3,071.56x = 11,356,669.29
  5. Step 5: Solve for x
    x = 11,356,669.29/3,071.56
  6. Step 6: Final answer
    x = 3,697.36

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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.