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Finding the Fourth Proportional to 3,488.38, 4,814.26 and 1,916.78

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Solution

The fourth proportional to 3,488.38, 4,814.26 and 1,916.78 is: 2,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.38 : 4,814.26 = 1,916.78 : x
  2. Step 2: Convert to fraction form
    3,488.38/4,814.26 = 1,916.78/x
  3. Step 3: Cross multiply
    3,488.38x = 4,814.26 × 1,916.78
  4. Step 4: Simplify right side
    3,488.38x = 9,227,877.28
  5. Step 5: Solve for x
    x = 9,227,877.28/3,488.38
  6. Step 6: Final answer
    x = 2,645.32

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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.