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Finding the Fourth Proportional to 4,758.06, 7,137.54 and 1,638.48

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Solution

The fourth proportional to 4,758.06, 7,137.54 and 1,638.48 is: 2,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.06 : 7,137.54 = 1,638.48 : x
  2. Step 2: Convert to fraction form
    4,758.06/7,137.54 = 1,638.48/x
  3. Step 3: Cross multiply
    4,758.06x = 7,137.54 × 1,638.48
  4. Step 4: Simplify right side
    4,758.06x = 11,694,716.54
  5. Step 5: Solve for x
    x = 11,694,716.54/4,758.06
  6. Step 6: Final answer
    x = 2,457.87

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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.