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Finding the Fourth Proportional to 3,663.38, 5,055.16 and 2,069.94

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Solution

The fourth proportional to 3,663.38, 5,055.16 and 2,069.94 is: 2,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.38 : 5,055.16 = 2,069.94 : x
  2. Step 2: Convert to fraction form
    3,663.38/5,055.16 = 2,069.94/x
  3. Step 3: Cross multiply
    3,663.38x = 5,055.16 × 2,069.94
  4. Step 4: Simplify right side
    3,663.38x = 10,463,867.12
  5. Step 5: Solve for x
    x = 10,463,867.12/3,663.38
  6. Step 6: Final answer
    x = 2,856.34

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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.