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Finding the Fourth Proportional to 6,418.41, 8,856.82 and 3,585.39

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Solution

The fourth proportional to 6,418.41, 8,856.82 and 3,585.39 is: 4,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.41 : 8,856.82 = 3,585.39 : x
  2. Step 2: Convert to fraction form
    6,418.41/8,856.82 = 3,585.39/x
  3. Step 3: Cross multiply
    6,418.41x = 8,856.82 × 3,585.39
  4. Step 4: Simplify right side
    6,418.41x = 31,755,153.86
  5. Step 5: Solve for x
    x = 31,755,153.86/6,418.41
  6. Step 6: Final answer
    x = 4,947.51

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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.