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Finding the Fourth Proportional to 3,403.89, 5,107.28 and 1,429.97

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Solution

The fourth proportional to 3,403.89, 5,107.28 and 1,429.97 is: 2,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.89 : 5,107.28 = 1,429.97 : x
  2. Step 2: Convert to fraction form
    3,403.89/5,107.28 = 1,429.97/x
  3. Step 3: Cross multiply
    3,403.89x = 5,107.28 × 1,429.97
  4. Step 4: Simplify right side
    3,403.89x = 7,303,224.50
  5. Step 5: Solve for x
    x = 7,303,224.50/3,403.89
  6. Step 6: Final answer
    x = 2,145.55

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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.