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Finding the Fourth Proportional to 3,871.68, 5,343.40 and 2,546.48

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Solution

The fourth proportional to 3,871.68, 5,343.40 and 2,546.48 is: 3,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.68 : 5,343.40 = 2,546.48 : x
  2. Step 2: Convert to fraction form
    3,871.68/5,343.40 = 2,546.48/x
  3. Step 3: Cross multiply
    3,871.68x = 5,343.40 × 2,546.48
  4. Step 4: Simplify right side
    3,871.68x = 13,606,861.23
  5. Step 5: Solve for x
    x = 13,606,861.23/3,871.68
  6. Step 6: Final answer
    x = 3,514.46

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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.