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Finding the Fourth Proportional to 6,552.35, 9,042.99 and 3,899.77

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Solution

The fourth proportional to 6,552.35, 9,042.99 and 3,899.77 is: 5,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.35 : 9,042.99 = 3,899.77 : x
  2. Step 2: Convert to fraction form
    6,552.35/9,042.99 = 3,899.77/x
  3. Step 3: Cross multiply
    6,552.35x = 9,042.99 × 3,899.77
  4. Step 4: Simplify right side
    6,552.35x = 35,265,535.90
  5. Step 5: Solve for x
    x = 35,265,535.90/6,552.35
  6. Step 6: Final answer
    x = 5,382.12

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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.