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Finding the Fourth Proportional to 3,522.80, 5,286.36 and 1,576.64

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Solution

The fourth proportional to 3,522.80, 5,286.36 and 1,576.64 is: 2,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.80 : 5,286.36 = 1,576.64 : x
  2. Step 2: Convert to fraction form
    3,522.80/5,286.36 = 1,576.64/x
  3. Step 3: Cross multiply
    3,522.80x = 5,286.36 × 1,576.64
  4. Step 4: Simplify right side
    3,522.80x = 8,334,686.63
  5. Step 5: Solve for x
    x = 8,334,686.63/3,522.80
  6. Step 6: Final answer
    x = 2,365.93

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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.