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Finding the Fourth Proportional to 6,486.78, 8,953.05 and 4,220.94

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Solution

The fourth proportional to 6,486.78, 8,953.05 and 4,220.94 is: 5,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.78 : 8,953.05 = 4,220.94 : x
  2. Step 2: Convert to fraction form
    6,486.78/8,953.05 = 4,220.94/x
  3. Step 3: Cross multiply
    6,486.78x = 8,953.05 × 4,220.94
  4. Step 4: Simplify right side
    6,486.78x = 37,790,286.87
  5. Step 5: Solve for x
    x = 37,790,286.87/6,486.78
  6. Step 6: Final answer
    x = 5,825.74

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