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Finding the Fourth Proportional to 3,546.92, 5,319.54 and 1,571.47

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Solution

The fourth proportional to 3,546.92, 5,319.54 and 1,571.47 is: 2,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.92 : 5,319.54 = 1,571.47 : x
  2. Step 2: Convert to fraction form
    3,546.92/5,319.54 = 1,571.47/x
  3. Step 3: Cross multiply
    3,546.92x = 5,319.54 × 1,571.47
  4. Step 4: Simplify right side
    3,546.92x = 8,359,484.22
  5. Step 5: Solve for x
    x = 8,359,484.22/3,546.92
  6. Step 6: Final answer
    x = 2,356.83

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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.