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Finding the Fourth Proportional to 3,498.38, 4,782.71 and 3,498.38

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Solution

The fourth proportional to 3,498.38, 4,782.71 and 3,498.38 is: 4,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.38 : 4,782.71 = 3,498.38 : x
  2. Step 2: Convert to fraction form
    3,498.38/4,782.71 = 3,498.38/x
  3. Step 3: Cross multiply
    3,498.38x = 4,782.71 × 3,498.38
  4. Step 4: Simplify right side
    3,498.38x = 16,731,737.01
  5. Step 5: Solve for x
    x = 16,731,737.01/3,498.38
  6. Step 6: Final answer
    x = 4,782.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.