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Finding the Fourth Proportional to 3,564.91, 4,919.84 and 1,992.90

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Solution

The fourth proportional to 3,564.91, 4,919.84 and 1,992.90 is: 2,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.91 : 4,919.84 = 1,992.90 : x
  2. Step 2: Convert to fraction form
    3,564.91/4,919.84 = 1,992.90/x
  3. Step 3: Cross multiply
    3,564.91x = 4,919.84 × 1,992.90
  4. Step 4: Simplify right side
    3,564.91x = 9,804,749.14
  5. Step 5: Solve for x
    x = 9,804,749.14/3,564.91
  6. Step 6: Final answer
    x = 2,750.35

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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.