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Finding the Fourth Proportional to 3,488.34, 4,813.92 and 1,916.54

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Solution

The fourth proportional to 3,488.34, 4,813.92 and 1,916.54 is: 2,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.34 : 4,813.92 = 1,916.54 : x
  2. Step 2: Convert to fraction form
    3,488.34/4,813.92 = 1,916.54/x
  3. Step 3: Cross multiply
    3,488.34x = 4,813.92 × 1,916.54
  4. Step 4: Simplify right side
    3,488.34x = 9,226,057.03
  5. Step 5: Solve for x
    x = 9,226,057.03/3,488.34
  6. Step 6: Final answer
    x = 2,644.82

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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.