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Finding the Fourth Proportional to 6,120.14, 8,448.38 and 4,133.39

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Solution

The fourth proportional to 6,120.14, 8,448.38 and 4,133.39 is: 5,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.14 : 8,448.38 = 4,133.39 : x
  2. Step 2: Convert to fraction form
    6,120.14/8,448.38 = 4,133.39/x
  3. Step 3: Cross multiply
    6,120.14x = 8,448.38 × 4,133.39
  4. Step 4: Simplify right side
    6,120.14x = 34,920,449.41
  5. Step 5: Solve for x
    x = 34,920,449.41/6,120.14
  6. Step 6: Final answer
    x = 5,705.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.