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Finding the Fourth Proportional to 3,653.57, 5,041.61 and 2,236.64

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Solution

The fourth proportional to 3,653.57, 5,041.61 and 2,236.64 is: 3,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.57 : 5,041.61 = 2,236.64 : x
  2. Step 2: Convert to fraction form
    3,653.57/5,041.61 = 2,236.64/x
  3. Step 3: Cross multiply
    3,653.57x = 5,041.61 × 2,236.64
  4. Step 4: Simplify right side
    3,653.57x = 11,276,284.79
  5. Step 5: Solve for x
    x = 11,276,284.79/3,653.57
  6. Step 6: Final answer
    x = 3,086.38

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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.