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Finding the Fourth Proportional to 3,409.45, 5,114.34 and 944.22

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Solution

The fourth proportional to 3,409.45, 5,114.34 and 944.22 is: 1,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.45 : 5,114.34 = 944.22 : x
  2. Step 2: Convert to fraction form
    3,409.45/5,114.34 = 944.22/x
  3. Step 3: Cross multiply
    3,409.45x = 5,114.34 × 944.22
  4. Step 4: Simplify right side
    3,409.45x = 4,829,062.11
  5. Step 5: Solve for x
    x = 4,829,062.11/3,409.45
  6. Step 6: Final answer
    x = 1,416.38

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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.