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Finding the Fourth Proportional to 3,546.56, 5,340.56 and 2,628.63

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Solution

The fourth proportional to 3,546.56, 5,340.56 and 2,628.63 is: 3,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.56 : 5,340.56 = 2,628.63 : x
  2. Step 2: Convert to fraction form
    3,546.56/5,340.56 = 2,628.63/x
  3. Step 3: Cross multiply
    3,546.56x = 5,340.56 × 2,628.63
  4. Step 4: Simplify right side
    3,546.56x = 14,038,343.09
  5. Step 5: Solve for x
    x = 14,038,343.09/3,546.56
  6. Step 6: Final answer
    x = 3,958.30

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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.