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Finding the Fourth Proportional to 6,179.19, 9,260.12 and 3,407.16

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Solution

The fourth proportional to 6,179.19, 9,260.12 and 3,407.16 is: 5,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.19 : 9,260.12 = 3,407.16 : x
  2. Step 2: Convert to fraction form
    6,179.19/9,260.12 = 3,407.16/x
  3. Step 3: Cross multiply
    6,179.19x = 9,260.12 × 3,407.16
  4. Step 4: Simplify right side
    6,179.19x = 31,550,753.70
  5. Step 5: Solve for x
    x = 31,550,753.70/6,179.19
  6. Step 6: Final answer
    x = 5,105.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.