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Finding the Fourth Proportional to 3,543.23, 5,314.24 and 945.56

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Solution

The fourth proportional to 3,543.23, 5,314.24 and 945.56 is: 1,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.23 : 5,314.24 = 945.56 : x
  2. Step 2: Convert to fraction form
    3,543.23/5,314.24 = 945.56/x
  3. Step 3: Cross multiply
    3,543.23x = 5,314.24 × 945.56
  4. Step 4: Simplify right side
    3,543.23x = 5,024,947.24
  5. Step 5: Solve for x
    x = 5,024,947.24/3,543.23
  6. Step 6: Final answer
    x = 1,418.18

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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.