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Finding the Fourth Proportional to 4,078.65, 6,117.18 and 1,738.20

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Solution

The fourth proportional to 4,078.65, 6,117.18 and 1,738.20 is: 2,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.65 : 6,117.18 = 1,738.20 : x
  2. Step 2: Convert to fraction form
    4,078.65/6,117.18 = 1,738.20/x
  3. Step 3: Cross multiply
    4,078.65x = 6,117.18 × 1,738.20
  4. Step 4: Simplify right side
    4,078.65x = 10,632,882.28
  5. Step 5: Solve for x
    x = 10,632,882.28/4,078.65
  6. Step 6: Final answer
    x = 2,606.96

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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.