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Finding the Fourth Proportional to 3,523.92, 5,288.28 and 2,429.28

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Solution

The fourth proportional to 3,523.92, 5,288.28 and 2,429.28 is: 3,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.92 : 5,288.28 = 2,429.28 : x
  2. Step 2: Convert to fraction form
    3,523.92/5,288.28 = 2,429.28/x
  3. Step 3: Cross multiply
    3,523.92x = 5,288.28 × 2,429.28
  4. Step 4: Simplify right side
    3,523.92x = 12,846,712.84
  5. Step 5: Solve for x
    x = 12,846,712.84/3,523.92
  6. Step 6: Final answer
    x = 3,645.57

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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.