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Finding the Fourth Proportional to 5,649.34, 8,471.28 and 1,950.27

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Solution

The fourth proportional to 5,649.34, 8,471.28 and 1,950.27 is: 2,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.34 : 8,471.28 = 1,950.27 : x
  2. Step 2: Convert to fraction form
    5,649.34/8,471.28 = 1,950.27/x
  3. Step 3: Cross multiply
    5,649.34x = 8,471.28 × 1,950.27
  4. Step 4: Simplify right side
    5,649.34x = 16,521,311.36
  5. Step 5: Solve for x
    x = 16,521,311.36/5,649.34
  6. Step 6: Final answer
    x = 2,924.47

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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.