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Finding the Fourth Proportional to 3,430.52, 5,147.01 and 1,349.37

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Solution

The fourth proportional to 3,430.52, 5,147.01 and 1,349.37 is: 2,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.52 : 5,147.01 = 1,349.37 : x
  2. Step 2: Convert to fraction form
    3,430.52/5,147.01 = 1,349.37/x
  3. Step 3: Cross multiply
    3,430.52x = 5,147.01 × 1,349.37
  4. Step 4: Simplify right side
    3,430.52x = 6,945,220.88
  5. Step 5: Solve for x
    x = 6,945,220.88/3,430.52
  6. Step 6: Final answer
    x = 2,024.54

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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.