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Finding the Fourth Proportional to 3,409.06, 5,114.18 and 943.82

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Solution

The fourth proportional to 3,409.06, 5,114.18 and 943.82 is: 1,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.06 : 5,114.18 = 943.82 : x
  2. Step 2: Convert to fraction form
    3,409.06/5,114.18 = 943.82/x
  3. Step 3: Cross multiply
    3,409.06x = 5,114.18 × 943.82
  4. Step 4: Simplify right side
    3,409.06x = 4,826,865.37
  5. Step 5: Solve for x
    x = 4,826,865.37/3,409.06
  6. Step 6: Final answer
    x = 1,415.89

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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.