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Finding the Fourth Proportional to 4,117.44, 6,148.96 and 3,892.80

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Solution

The fourth proportional to 4,117.44, 6,148.96 and 3,892.80 is: 5,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.44 : 6,148.96 = 3,892.80 : x
  2. Step 2: Convert to fraction form
    4,117.44/6,148.96 = 3,892.80/x
  3. Step 3: Cross multiply
    4,117.44x = 6,148.96 × 3,892.80
  4. Step 4: Simplify right side
    4,117.44x = 23,936,671.49
  5. Step 5: Solve for x
    x = 23,936,671.49/4,117.44
  6. Step 6: Final answer
    x = 5,813.48

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Why These Related Problems?

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