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Finding the Fourth Proportional to 3,543.69, 5,313.57 and 1,433.41

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Solution

The fourth proportional to 3,543.69, 5,313.57 and 1,433.41 is: 2,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.69 : 5,313.57 = 1,433.41 : x
  2. Step 2: Convert to fraction form
    3,543.69/5,313.57 = 1,433.41/x
  3. Step 3: Cross multiply
    3,543.69x = 5,313.57 × 1,433.41
  4. Step 4: Simplify right side
    3,543.69x = 7,616,524.37
  5. Step 5: Solve for x
    x = 7,616,524.37/3,543.69
  6. Step 6: Final answer
    x = 2,149.32

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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.