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Finding the Fourth Proportional to 3,722.40, 5,587.20 and 3,175.20

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Solution

The fourth proportional to 3,722.40, 5,587.20 and 3,175.20 is: 4,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.40 : 5,587.20 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    3,722.40/5,587.20 = 3,175.20/x
  3. Step 3: Cross multiply
    3,722.40x = 5,587.20 × 3,175.20
  4. Step 4: Simplify right side
    3,722.40x = 17,740,477.44
  5. Step 5: Solve for x
    x = 17,740,477.44/3,722.40
  6. Step 6: Final answer
    x = 4,765.87

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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.