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Finding the Fourth Proportional to 3,488.96, 5,231.28 and 1,638.92

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Solution

The fourth proportional to 3,488.96, 5,231.28 and 1,638.92 is: 2,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.96 : 5,231.28 = 1,638.92 : x
  2. Step 2: Convert to fraction form
    3,488.96/5,231.28 = 1,638.92/x
  3. Step 3: Cross multiply
    3,488.96x = 5,231.28 × 1,638.92
  4. Step 4: Simplify right side
    3,488.96x = 8,573,649.42
  5. Step 5: Solve for x
    x = 8,573,649.42/3,488.96
  6. Step 6: Final answer
    x = 2,457.37

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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.