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Finding the Fourth Proportional to 3,420.73, 5,131.10 and 2,641.87

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Solution

The fourth proportional to 3,420.73, 5,131.10 and 2,641.87 is: 3,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.73 : 5,131.10 = 2,641.87 : x
  2. Step 2: Convert to fraction form
    3,420.73/5,131.10 = 2,641.87/x
  3. Step 3: Cross multiply
    3,420.73x = 5,131.10 × 2,641.87
  4. Step 4: Simplify right side
    3,420.73x = 13,555,699.16
  5. Step 5: Solve for x
    x = 13,555,699.16/3,420.73
  6. Step 6: Final answer
    x = 3,962.81

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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.