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Finding the Fourth Proportional to 3,926.70, 5,890.05 and 3,764.70

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Solution

The fourth proportional to 3,926.70, 5,890.05 and 3,764.70 is: 5,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.70 : 5,890.05 = 3,764.70 : x
  2. Step 2: Convert to fraction form
    3,926.70/5,890.05 = 3,764.70/x
  3. Step 3: Cross multiply
    3,926.70x = 5,890.05 × 3,764.70
  4. Step 4: Simplify right side
    3,926.70x = 22,174,271.24
  5. Step 5: Solve for x
    x = 22,174,271.24/3,926.70
  6. Step 6: Final answer
    x = 5,647.05

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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.