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Finding the Fourth Proportional to 4,967.82, 7,450.70 and 2,466.44

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Solution

The fourth proportional to 4,967.82, 7,450.70 and 2,466.44 is: 3,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.82 : 7,450.70 = 2,466.44 : x
  2. Step 2: Convert to fraction form
    4,967.82/7,450.70 = 2,466.44/x
  3. Step 3: Cross multiply
    4,967.82x = 7,450.70 × 2,466.44
  4. Step 4: Simplify right side
    4,967.82x = 18,376,682.86
  5. Step 5: Solve for x
    x = 18,376,682.86/4,967.82
  6. Step 6: Final answer
    x = 3,699.14

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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.