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Finding the Fourth Proportional to 4,071.92, 6,077.13 and 3,678.26

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Solution

The fourth proportional to 4,071.92, 6,077.13 and 3,678.26 is: 5,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.92 : 6,077.13 = 3,678.26 : x
  2. Step 2: Convert to fraction form
    4,071.92/6,077.13 = 3,678.26/x
  3. Step 3: Cross multiply
    4,071.92x = 6,077.13 × 3,678.26
  4. Step 4: Simplify right side
    4,071.92x = 22,353,254.20
  5. Step 5: Solve for x
    x = 22,353,254.20/4,071.92
  6. Step 6: Final answer
    x = 5,489.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.