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Finding the Fourth Proportional to 5,809.35, 8,010.77 and 4,129

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Solution

The fourth proportional to 5,809.35, 8,010.77 and 4,129 is: 5,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.35 : 8,010.77 = 4,129 : x
  2. Step 2: Convert to fraction form
    5,809.35/8,010.77 = 4,129/x
  3. Step 3: Cross multiply
    5,809.35x = 8,010.77 × 4,129
  4. Step 4: Simplify right side
    5,809.35x = 33,076,469.33
  5. Step 5: Solve for x
    x = 33,076,469.33/5,809.35
  6. Step 6: Final answer
    x = 5,693.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.