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Finding the Fourth Proportional to 3,185.57, 4,396.13 and 1,926.77

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Solution

The fourth proportional to 3,185.57, 4,396.13 and 1,926.77 is: 2,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.57 : 4,396.13 = 1,926.77 : x
  2. Step 2: Convert to fraction form
    3,185.57/4,396.13 = 1,926.77/x
  3. Step 3: Cross multiply
    3,185.57x = 4,396.13 × 1,926.77
  4. Step 4: Simplify right side
    3,185.57x = 8,470,299.79
  5. Step 5: Solve for x
    x = 8,470,299.79/3,185.57
  6. Step 6: Final answer
    x = 2,658.96

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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.