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Finding the Fourth Proportional to 5,909.98, 8,155.82 and 3,257.39

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Solution

The fourth proportional to 5,909.98, 8,155.82 and 3,257.39 is: 4,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.98 : 8,155.82 = 3,257.39 : x
  2. Step 2: Convert to fraction form
    5,909.98/8,155.82 = 3,257.39/x
  3. Step 3: Cross multiply
    5,909.98x = 8,155.82 × 3,257.39
  4. Step 4: Simplify right side
    5,909.98x = 26,566,670.22
  5. Step 5: Solve for x
    x = 26,566,670.22/5,909.98
  6. Step 6: Final answer
    x = 4,495.23

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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.