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Finding the Fourth Proportional to 5,930.60, 8,184.18 and 3,278

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Solution

The fourth proportional to 5,930.60, 8,184.18 and 3,278 is: 4,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.60 : 8,184.18 = 3,278 : x
  2. Step 2: Convert to fraction form
    5,930.60/8,184.18 = 3,278/x
  3. Step 3: Cross multiply
    5,930.60x = 8,184.18 × 3,278
  4. Step 4: Simplify right side
    5,930.60x = 26,827,742.04
  5. Step 5: Solve for x
    x = 26,827,742.04/5,930.60
  6. Step 6: Final answer
    x = 4,523.61

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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.