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Finding the Fourth Proportional to 3,450.90, 5,177.11 and 1,259.62

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Solution

The fourth proportional to 3,450.90, 5,177.11 and 1,259.62 is: 1,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.90 : 5,177.11 = 1,259.62 : x
  2. Step 2: Convert to fraction form
    3,450.90/5,177.11 = 1,259.62/x
  3. Step 3: Cross multiply
    3,450.90x = 5,177.11 × 1,259.62
  4. Step 4: Simplify right side
    3,450.90x = 6,521,174.03
  5. Step 5: Solve for x
    x = 6,521,174.03/3,450.90
  6. Step 6: Final answer
    x = 1,889.70

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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.