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Finding the Fourth Proportional to 3,610.29, 5,424.57 and 3,464.49

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Solution

The fourth proportional to 3,610.29, 5,424.57 and 3,464.49 is: 5,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.29 : 5,424.57 = 3,464.49 : x
  2. Step 2: Convert to fraction form
    3,610.29/5,424.57 = 3,464.49/x
  3. Step 3: Cross multiply
    3,610.29x = 5,424.57 × 3,464.49
  4. Step 4: Simplify right side
    3,610.29x = 18,793,368.52
  5. Step 5: Solve for x
    x = 18,793,368.52/3,610.29
  6. Step 6: Final answer
    x = 5,205.50

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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.