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Finding the Fourth Proportional to 3,597.71, 5,404.73 and 3,105.63

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Solution

The fourth proportional to 3,597.71, 5,404.73 and 3,105.63 is: 4,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.71 : 5,404.73 = 3,105.63 : x
  2. Step 2: Convert to fraction form
    3,597.71/5,404.73 = 3,105.63/x
  3. Step 3: Cross multiply
    3,597.71x = 5,404.73 × 3,105.63
  4. Step 4: Simplify right side
    3,597.71x = 16,785,076.10
  5. Step 5: Solve for x
    x = 16,785,076.10/3,597.71
  6. Step 6: Final answer
    x = 4,665.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.