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Finding the Fourth Proportional to 3,406.52, 5,109.74 and 941.32

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Solution

The fourth proportional to 3,406.52, 5,109.74 and 941.32 is: 1,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.52 : 5,109.74 = 941.32 : x
  2. Step 2: Convert to fraction form
    3,406.52/5,109.74 = 941.32/x
  3. Step 3: Cross multiply
    3,406.52x = 5,109.74 × 941.32
  4. Step 4: Simplify right side
    3,406.52x = 4,809,900.46
  5. Step 5: Solve for x
    x = 4,809,900.46/3,406.52
  6. Step 6: Final answer
    x = 1,411.97

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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.