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Finding the Fourth Proportional to 4,758.92, 7,137.01 and 1,638.80

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Solution

The fourth proportional to 4,758.92, 7,137.01 and 1,638.80 is: 2,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.92 : 7,137.01 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    4,758.92/7,137.01 = 1,638.80/x
  3. Step 3: Cross multiply
    4,758.92x = 7,137.01 × 1,638.80
  4. Step 4: Simplify right side
    4,758.92x = 11,696,125.12
  5. Step 5: Solve for x
    x = 11,696,125.12/4,758.92
  6. Step 6: Final answer
    x = 2,457.73

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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.