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Finding the Fourth Proportional to 3,450.98, 5,173.27 and 1,259.21

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Solution

The fourth proportional to 3,450.98, 5,173.27 and 1,259.21 is: 1,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.98 : 5,173.27 = 1,259.21 : x
  2. Step 2: Convert to fraction form
    3,450.98/5,173.27 = 1,259.21/x
  3. Step 3: Cross multiply
    3,450.98x = 5,173.27 × 1,259.21
  4. Step 4: Simplify right side
    3,450.98x = 6,514,243.10
  5. Step 5: Solve for x
    x = 6,514,243.10/3,450.98
  6. Step 6: Final answer
    x = 1,887.65

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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.