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Finding the Fourth Proportional to 6,070.96, 8,378.09 and 3,418.47

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Solution

The fourth proportional to 6,070.96, 8,378.09 and 3,418.47 is: 4,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.96 : 8,378.09 = 3,418.47 : x
  2. Step 2: Convert to fraction form
    6,070.96/8,378.09 = 3,418.47/x
  3. Step 3: Cross multiply
    6,070.96x = 8,378.09 × 3,418.47
  4. Step 4: Simplify right side
    6,070.96x = 28,640,245.05
  5. Step 5: Solve for x
    x = 28,640,245.05/6,070.96
  6. Step 6: Final answer
    x = 4,717.58

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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.