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Finding the Fourth Proportional to 3,910.20, 5,398.26 and 2,658

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Solution

The fourth proportional to 3,910.20, 5,398.26 and 2,658 is: 3,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.20 : 5,398.26 = 2,658 : x
  2. Step 2: Convert to fraction form
    3,910.20/5,398.26 = 2,658/x
  3. Step 3: Cross multiply
    3,910.20x = 5,398.26 × 2,658
  4. Step 4: Simplify right side
    3,910.20x = 14,348,575.08
  5. Step 5: Solve for x
    x = 14,348,575.08/3,910.20
  6. Step 6: Final answer
    x = 3,669.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.