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Finding the Fourth Proportional to 3,689.52, 5,101.38 and 3,222.60

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Solution

The fourth proportional to 3,689.52, 5,101.38 and 3,222.60 is: 4,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.52 : 5,101.38 = 3,222.60 : x
  2. Step 2: Convert to fraction form
    3,689.52/5,101.38 = 3,222.60/x
  3. Step 3: Cross multiply
    3,689.52x = 5,101.38 × 3,222.60
  4. Step 4: Simplify right side
    3,689.52x = 16,439,707.19
  5. Step 5: Solve for x
    x = 16,439,707.19/3,689.52
  6. Step 6: Final answer
    x = 4,455.78

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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.