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Finding the Fourth Proportional to 6,552.42, 9,042.75 and 3,899.94

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Solution

The fourth proportional to 6,552.42, 9,042.75 and 3,899.94 is: 5,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.42 : 9,042.75 = 3,899.94 : x
  2. Step 2: Convert to fraction form
    6,552.42/9,042.75 = 3,899.94/x
  3. Step 3: Cross multiply
    6,552.42x = 9,042.75 × 3,899.94
  4. Step 4: Simplify right side
    6,552.42x = 35,266,182.44
  5. Step 5: Solve for x
    x = 35,266,182.44/6,552.42
  6. Step 6: Final answer
    x = 5,382.16

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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.