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Finding the Fourth Proportional to 3,901.60, 5,380.70 and 2,576.64

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Solution

The fourth proportional to 3,901.60, 5,380.70 and 2,576.64 is: 3,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.60 : 5,380.70 = 2,576.64 : x
  2. Step 2: Convert to fraction form
    3,901.60/5,380.70 = 2,576.64/x
  3. Step 3: Cross multiply
    3,901.60x = 5,380.70 × 2,576.64
  4. Step 4: Simplify right side
    3,901.60x = 13,864,113.96
  5. Step 5: Solve for x
    x = 13,864,113.96/3,901.60
  6. Step 6: Final answer
    x = 3,553.45

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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.