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Finding the Fourth Proportional to 3,873.57, 5,800.60 and 3,056.28

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Solution

The fourth proportional to 3,873.57, 5,800.60 and 3,056.28 is: 4,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.57 : 5,800.60 = 3,056.28 : x
  2. Step 2: Convert to fraction form
    3,873.57/5,800.60 = 3,056.28/x
  3. Step 3: Cross multiply
    3,873.57x = 5,800.60 × 3,056.28
  4. Step 4: Simplify right side
    3,873.57x = 17,728,257.77
  5. Step 5: Solve for x
    x = 17,728,257.77/3,873.57
  6. Step 6: Final answer
    x = 4,576.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.