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Finding the Fourth Proportional to 3,564.38, 4,918.95 and 1,992.47

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Solution

The fourth proportional to 3,564.38, 4,918.95 and 1,992.47 is: 2,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.38 : 4,918.95 = 1,992.47 : x
  2. Step 2: Convert to fraction form
    3,564.38/4,918.95 = 1,992.47/x
  3. Step 3: Cross multiply
    3,564.38x = 4,918.95 × 1,992.47
  4. Step 4: Simplify right side
    3,564.38x = 9,800,835.71
  5. Step 5: Solve for x
    x = 9,800,835.71/3,564.38
  6. Step 6: Final answer
    x = 2,749.66

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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.