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Finding the Fourth Proportional to 3,420.96, 5,149.68 and 2,645.10

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Solution

The fourth proportional to 3,420.96, 5,149.68 and 2,645.10 is: 3,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.96 : 5,149.68 = 2,645.10 : x
  2. Step 2: Convert to fraction form
    3,420.96/5,149.68 = 2,645.10/x
  3. Step 3: Cross multiply
    3,420.96x = 5,149.68 × 2,645.10
  4. Step 4: Simplify right side
    3,420.96x = 13,621,418.57
  5. Step 5: Solve for x
    x = 13,621,418.57/3,420.96
  6. Step 6: Final answer
    x = 3,981.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.