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Finding the Fourth Proportional to 3,409.66, 5,114.49 and 944.47

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Solution

The fourth proportional to 3,409.66, 5,114.49 and 944.47 is: 1,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.66 : 5,114.49 = 944.47 : x
  2. Step 2: Convert to fraction form
    3,409.66/5,114.49 = 944.47/x
  3. Step 3: Cross multiply
    3,409.66x = 5,114.49 × 944.47
  4. Step 4: Simplify right side
    3,409.66x = 4,830,485.22
  5. Step 5: Solve for x
    x = 4,830,485.22/3,409.66
  6. Step 6: Final answer
    x = 1,416.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.