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Finding the Fourth Proportional to 3,607.38, 4,978.26 and 1,992.29

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Solution

The fourth proportional to 3,607.38, 4,978.26 and 1,992.29 is: 2,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.38 : 4,978.26 = 1,992.29 : x
  2. Step 2: Convert to fraction form
    3,607.38/4,978.26 = 1,992.29/x
  3. Step 3: Cross multiply
    3,607.38x = 4,978.26 × 1,992.29
  4. Step 4: Simplify right side
    3,607.38x = 9,918,116.46
  5. Step 5: Solve for x
    x = 9,918,116.46/3,607.38
  6. Step 6: Final answer
    x = 2,749.40

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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.