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Finding the Fourth Proportional to 3,488.43, 4,814.34 and 1,916.83

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Solution

The fourth proportional to 3,488.43, 4,814.34 and 1,916.83 is: 2,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.43 : 4,814.34 = 1,916.83 : x
  2. Step 2: Convert to fraction form
    3,488.43/4,814.34 = 1,916.83/x
  3. Step 3: Cross multiply
    3,488.43x = 4,814.34 × 1,916.83
  4. Step 4: Simplify right side
    3,488.43x = 9,228,237.69
  5. Step 5: Solve for x
    x = 9,228,237.69/3,488.43
  6. Step 6: Final answer
    x = 2,645.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.