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Finding the Fourth Proportional to 3,459.70, 5,188.34 and 2,141.43

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Solution

The fourth proportional to 3,459.70, 5,188.34 and 2,141.43 is: 3,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.70 : 5,188.34 = 2,141.43 : x
  2. Step 2: Convert to fraction form
    3,459.70/5,188.34 = 2,141.43/x
  3. Step 3: Cross multiply
    3,459.70x = 5,188.34 × 2,141.43
  4. Step 4: Simplify right side
    3,459.70x = 11,110,452.82
  5. Step 5: Solve for x
    x = 11,110,452.82/3,459.70
  6. Step 6: Final answer
    x = 3,211.39

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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.