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Finding the Fourth Proportional to 3,722.60, 5,576.88 and 3,110.24

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Solution

The fourth proportional to 3,722.60, 5,576.88 and 3,110.24 is: 4,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.60 : 5,576.88 = 3,110.24 : x
  2. Step 2: Convert to fraction form
    3,722.60/5,576.88 = 3,110.24/x
  3. Step 3: Cross multiply
    3,722.60x = 5,576.88 × 3,110.24
  4. Step 4: Simplify right side
    3,722.60x = 17,345,435.25
  5. Step 5: Solve for x
    x = 17,345,435.25/3,722.60
  6. Step 6: Final answer
    x = 4,659.49

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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.