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Finding the Fourth Proportional to 5,909.77, 8,167.25 and 4,845.89

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Solution

The fourth proportional to 5,909.77, 8,167.25 and 4,845.89 is: 6,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.77 : 8,167.25 = 4,845.89 : x
  2. Step 2: Convert to fraction form
    5,909.77/8,167.25 = 4,845.89/x
  3. Step 3: Cross multiply
    5,909.77x = 8,167.25 × 4,845.89
  4. Step 4: Simplify right side
    5,909.77x = 39,577,595.10
  5. Step 5: Solve for x
    x = 39,577,595.10/5,909.77
  6. Step 6: Final answer
    x = 6,696.98

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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.