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Finding the Fourth Proportional to 6,081.93, 8,393.36 and 3,564

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Solution

The fourth proportional to 6,081.93, 8,393.36 and 3,564 is: 4,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.93 : 8,393.36 = 3,564 : x
  2. Step 2: Convert to fraction form
    6,081.93/8,393.36 = 3,564/x
  3. Step 3: Cross multiply
    6,081.93x = 8,393.36 × 3,564
  4. Step 4: Simplify right side
    6,081.93x = 29,913,917.22
  5. Step 5: Solve for x
    x = 29,913,917.22/6,081.93
  6. Step 6: Final answer
    x = 4,918.49

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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.