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Finding the Fourth Proportional to 5,738.34, 8,607.90 and 2,451.42

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Solution

The fourth proportional to 5,738.34, 8,607.90 and 2,451.42 is: 3,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.34 : 8,607.90 = 2,451.42 : x
  2. Step 2: Convert to fraction form
    5,738.34/8,607.90 = 2,451.42/x
  3. Step 3: Cross multiply
    5,738.34x = 8,607.90 × 2,451.42
  4. Step 4: Simplify right side
    5,738.34x = 21,101,578.22
  5. Step 5: Solve for x
    x = 21,101,578.22/5,738.34
  6. Step 6: Final answer
    x = 3,677.30

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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.