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Finding the Fourth Proportional to 5,164.97, 7,747.50 and 2,045.73

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Solution

The fourth proportional to 5,164.97, 7,747.50 and 2,045.73 is: 3,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.97 : 7,747.50 = 2,045.73 : x
  2. Step 2: Convert to fraction form
    5,164.97/7,747.50 = 2,045.73/x
  3. Step 3: Cross multiply
    5,164.97x = 7,747.50 × 2,045.73
  4. Step 4: Simplify right side
    5,164.97x = 15,849,329.90
  5. Step 5: Solve for x
    x = 15,849,329.90/5,164.97
  6. Step 6: Final answer
    x = 3,068.62

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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.