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Finding the Fourth Proportional to 6,244.39, 8,617.39 and 3,411.82

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Solution

The fourth proportional to 6,244.39, 8,617.39 and 3,411.82 is: 4,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.39 : 8,617.39 = 3,411.82 : x
  2. Step 2: Convert to fraction form
    6,244.39/8,617.39 = 3,411.82/x
  3. Step 3: Cross multiply
    6,244.39x = 8,617.39 × 3,411.82
  4. Step 4: Simplify right side
    6,244.39x = 29,400,985.79
  5. Step 5: Solve for x
    x = 29,400,985.79/6,244.39
  6. Step 6: Final answer
    x = 4,708.38

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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.