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Finding the Fourth Proportional to 6,182.92, 8,532.30 and 3,388.24

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Solution

The fourth proportional to 6,182.92, 8,532.30 and 3,388.24 is: 4,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.92 : 8,532.30 = 3,388.24 : x
  2. Step 2: Convert to fraction form
    6,182.92/8,532.30 = 3,388.24/x
  3. Step 3: Cross multiply
    6,182.92x = 8,532.30 × 3,388.24
  4. Step 4: Simplify right side
    6,182.92x = 28,909,480.15
  5. Step 5: Solve for x
    x = 28,909,480.15/6,182.92
  6. Step 6: Final answer
    x = 4,675.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.