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Finding the Fourth Proportional to 5,652.05, 8,443.69 and 3,661.47

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Solution

The fourth proportional to 5,652.05, 8,443.69 and 3,661.47 is: 5,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.05 : 8,443.69 = 3,661.47 : x
  2. Step 2: Convert to fraction form
    5,652.05/8,443.69 = 3,661.47/x
  3. Step 3: Cross multiply
    5,652.05x = 8,443.69 × 3,661.47
  4. Step 4: Simplify right side
    5,652.05x = 30,916,308.47
  5. Step 5: Solve for x
    x = 30,916,308.47/5,652.05
  6. Step 6: Final answer
    x = 5,469.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.