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Finding the Fourth Proportional to 4,640.98, 6,961.49 and 1,354.09

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Solution

The fourth proportional to 4,640.98, 6,961.49 and 1,354.09 is: 2,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.98 : 6,961.49 = 1,354.09 : x
  2. Step 2: Convert to fraction form
    4,640.98/6,961.49 = 1,354.09/x
  3. Step 3: Cross multiply
    4,640.98x = 6,961.49 × 1,354.09
  4. Step 4: Simplify right side
    4,640.98x = 9,426,483.99
  5. Step 5: Solve for x
    x = 9,426,483.99/4,640.98
  6. Step 6: Final answer
    x = 2,031.14

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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.