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Finding the Fourth Proportional to 3,409.46, 5,113.26 and 943.69

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Solution

The fourth proportional to 3,409.46, 5,113.26 and 943.69 is: 1,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.46 : 5,113.26 = 943.69 : x
  2. Step 2: Convert to fraction form
    3,409.46/5,113.26 = 943.69/x
  3. Step 3: Cross multiply
    3,409.46x = 5,113.26 × 943.69
  4. Step 4: Simplify right side
    3,409.46x = 4,825,332.33
  5. Step 5: Solve for x
    x = 4,825,332.33/3,409.46
  6. Step 6: Final answer
    x = 1,415.28

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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.