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Finding the Fourth Proportional to 3,764.40, 5,192.28 and 2,647.68

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Solution

The fourth proportional to 3,764.40, 5,192.28 and 2,647.68 is: 3,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.40 : 5,192.28 = 2,647.68 : x
  2. Step 2: Convert to fraction form
    3,764.40/5,192.28 = 2,647.68/x
  3. Step 3: Cross multiply
    3,764.40x = 5,192.28 × 2,647.68
  4. Step 4: Simplify right side
    3,764.40x = 13,747,495.91
  5. Step 5: Solve for x
    x = 13,747,495.91/3,764.40
  6. Step 6: Final answer
    x = 3,651.98

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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.