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Finding the Fourth Proportional to 4,219.29, 5,827.16 and 3,755.46

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Solution

The fourth proportional to 4,219.29, 5,827.16 and 3,755.46 is: 5,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.29 : 5,827.16 = 3,755.46 : x
  2. Step 2: Convert to fraction form
    4,219.29/5,827.16 = 3,755.46/x
  3. Step 3: Cross multiply
    4,219.29x = 5,827.16 × 3,755.46
  4. Step 4: Simplify right side
    4,219.29x = 21,883,676.41
  5. Step 5: Solve for x
    x = 21,883,676.41/4,219.29
  6. Step 6: Final answer
    x = 5,186.58

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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.