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Finding the Fourth Proportional to 3,410.70, 5,110.65 and 2,175.90

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Solution

The fourth proportional to 3,410.70, 5,110.65 and 2,175.90 is: 3,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.70 : 5,110.65 = 2,175.90 : x
  2. Step 2: Convert to fraction form
    3,410.70/5,110.65 = 2,175.90/x
  3. Step 3: Cross multiply
    3,410.70x = 5,110.65 × 2,175.90
  4. Step 4: Simplify right side
    3,410.70x = 11,120,263.34
  5. Step 5: Solve for x
    x = 11,120,263.34/3,410.70
  6. Step 6: Final answer
    x = 3,260.41

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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.