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Finding the Fourth Proportional to 5,996.85, 8,275.16 and 3,478.16

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Solution

The fourth proportional to 5,996.85, 8,275.16 and 3,478.16 is: 4,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.85 : 8,275.16 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    5,996.85/8,275.16 = 3,478.16/x
  3. Step 3: Cross multiply
    5,996.85x = 8,275.16 × 3,478.16
  4. Step 4: Simplify right side
    5,996.85x = 28,782,318.51
  5. Step 5: Solve for x
    x = 28,782,318.51/5,996.85
  6. Step 6: Final answer
    x = 4,799.57

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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.