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Finding the Fourth Proportional to 5,097.82, 7,645.11 and 1,977.61

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Solution

The fourth proportional to 5,097.82, 7,645.11 and 1,977.61 is: 2,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.82 : 7,645.11 = 1,977.61 : x
  2. Step 2: Convert to fraction form
    5,097.82/7,645.11 = 1,977.61/x
  3. Step 3: Cross multiply
    5,097.82x = 7,645.11 × 1,977.61
  4. Step 4: Simplify right side
    5,097.82x = 15,119,045.99
  5. Step 5: Solve for x
    x = 15,119,045.99/5,097.82
  6. Step 6: Final answer
    x = 2,965.79

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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.