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Finding the Fourth Proportional to 3,409.23, 5,113.86 and 943.98

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Solution

The fourth proportional to 3,409.23, 5,113.86 and 943.98 is: 1,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.23 : 5,113.86 = 943.98 : x
  2. Step 2: Convert to fraction form
    3,409.23/5,113.86 = 943.98/x
  3. Step 3: Cross multiply
    3,409.23x = 5,113.86 × 943.98
  4. Step 4: Simplify right side
    3,409.23x = 4,827,381.56
  5. Step 5: Solve for x
    x = 4,827,381.56/3,409.23
  6. Step 6: Final answer
    x = 1,415.97

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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.