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Finding the Fourth Proportional to 3,430.04, 5,145.04 and 1,121.56

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Solution

The fourth proportional to 3,430.04, 5,145.04 and 1,121.56 is: 1,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.04 : 5,145.04 = 1,121.56 : x
  2. Step 2: Convert to fraction form
    3,430.04/5,145.04 = 1,121.56/x
  3. Step 3: Cross multiply
    3,430.04x = 5,145.04 × 1,121.56
  4. Step 4: Simplify right side
    3,430.04x = 5,770,471.06
  5. Step 5: Solve for x
    x = 5,770,471.06/3,430.04
  6. Step 6: Final answer
    x = 1,682.33

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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.