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Finding the Fourth Proportional to 3,409.14, 5,113.71 and 943.90

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Solution

The fourth proportional to 3,409.14, 5,113.71 and 943.90 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.14 : 5,113.71 = 943.90 : x
  2. Step 2: Convert to fraction form
    3,409.14/5,113.71 = 943.90/x
  3. Step 3: Cross multiply
    3,409.14x = 5,113.71 × 943.90
  4. Step 4: Simplify right side
    3,409.14x = 4,826,844.19
  5. Step 5: Solve for x
    x = 4,826,844.19/3,409.14
  6. Step 6: Final answer
    x = 1,415.85

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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.