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Finding the Fourth Proportional to 3,576.64, 4,937.10 and 3,202.96

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Solution

The fourth proportional to 3,576.64, 4,937.10 and 3,202.96 is: 4,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.64 : 4,937.10 = 3,202.96 : x
  2. Step 2: Convert to fraction form
    3,576.64/4,937.10 = 3,202.96/x
  3. Step 3: Cross multiply
    3,576.64x = 4,937.10 × 3,202.96
  4. Step 4: Simplify right side
    3,576.64x = 15,813,333.82
  5. Step 5: Solve for x
    x = 15,813,333.82/3,576.64
  6. Step 6: Final answer
    x = 4,421.28

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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.