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Finding the Fourth Proportional to 3,754.44, 5,633.82 and 3,014.91

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Solution

The fourth proportional to 3,754.44, 5,633.82 and 3,014.91 is: 4,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.44 : 5,633.82 = 3,014.91 : x
  2. Step 2: Convert to fraction form
    3,754.44/5,633.82 = 3,014.91/x
  3. Step 3: Cross multiply
    3,754.44x = 5,633.82 × 3,014.91
  4. Step 4: Simplify right side
    3,754.44x = 16,985,460.26
  5. Step 5: Solve for x
    x = 16,985,460.26/3,754.44
  6. Step 6: Final answer
    x = 4,524.10

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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.