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Finding the Fourth Proportional to 6,182.82, 8,532.81 and 3,792.78

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Solution

The fourth proportional to 6,182.82, 8,532.81 and 3,792.78 is: 5,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.82 : 8,532.81 = 3,792.78 : x
  2. Step 2: Convert to fraction form
    6,182.82/8,532.81 = 3,792.78/x
  3. Step 3: Cross multiply
    6,182.82x = 8,532.81 × 3,792.78
  4. Step 4: Simplify right side
    6,182.82x = 32,363,071.11
  5. Step 5: Solve for x
    x = 32,363,071.11/6,182.82
  6. Step 6: Final answer
    x = 5,234.35

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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.