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Finding the Fourth Proportional to 4,968.56, 7,451.76 and 1,505

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Solution

The fourth proportional to 4,968.56, 7,451.76 and 1,505 is: 2,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.56 : 7,451.76 = 1,505 : x
  2. Step 2: Convert to fraction form
    4,968.56/7,451.76 = 1,505/x
  3. Step 3: Cross multiply
    4,968.56x = 7,451.76 × 1,505
  4. Step 4: Simplify right side
    4,968.56x = 11,214,898.80
  5. Step 5: Solve for x
    x = 11,214,898.80/4,968.56
  6. Step 6: Final answer
    x = 2,257.17

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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.