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Finding the Fourth Proportional to 3,409.51, 5,114.26 and 944.34

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Solution

The fourth proportional to 3,409.51, 5,114.26 and 944.34 is: 1,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.51 : 5,114.26 = 944.34 : x
  2. Step 2: Convert to fraction form
    3,409.51/5,114.26 = 944.34/x
  3. Step 3: Cross multiply
    3,409.51x = 5,114.26 × 944.34
  4. Step 4: Simplify right side
    3,409.51x = 4,829,600.29
  5. Step 5: Solve for x
    x = 4,829,600.29/3,409.51
  6. Step 6: Final answer
    x = 1,416.51

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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.