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Finding the Fourth Proportional to 3,534.44, 5,297.10 and 1,451.94

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Solution

The fourth proportional to 3,534.44, 5,297.10 and 1,451.94 is: 2,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.44 : 5,297.10 = 1,451.94 : x
  2. Step 2: Convert to fraction form
    3,534.44/5,297.10 = 1,451.94/x
  3. Step 3: Cross multiply
    3,534.44x = 5,297.10 × 1,451.94
  4. Step 4: Simplify right side
    3,534.44x = 7,691,071.37
  5. Step 5: Solve for x
    x = 7,691,071.37/3,534.44
  6. Step 6: Final answer
    x = 2,176.04

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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.