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Finding the Fourth Proportional to 5,148.46, 7,722.96 and 1,638.22

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Solution

The fourth proportional to 5,148.46, 7,722.96 and 1,638.22 is: 2,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.46 : 7,722.96 = 1,638.22 : x
  2. Step 2: Convert to fraction form
    5,148.46/7,722.96 = 1,638.22/x
  3. Step 3: Cross multiply
    5,148.46x = 7,722.96 × 1,638.22
  4. Step 4: Simplify right side
    5,148.46x = 12,651,899.34
  5. Step 5: Solve for x
    x = 12,651,899.34/5,148.46
  6. Step 6: Final answer
    x = 2,457.42

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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.