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Finding the Fourth Proportional to 5,909.80, 8,103.77 and 5,693.80

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Solution

The fourth proportional to 5,909.80, 8,103.77 and 5,693.80 is: 7,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.80 : 8,103.77 = 5,693.80 : x
  2. Step 2: Convert to fraction form
    5,909.80/8,103.77 = 5,693.80/x
  3. Step 3: Cross multiply
    5,909.80x = 8,103.77 × 5,693.80
  4. Step 4: Simplify right side
    5,909.80x = 46,141,245.63
  5. Step 5: Solve for x
    x = 46,141,245.63/5,909.80
  6. Step 6: Final answer
    x = 7,807.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.