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Finding the Fourth Proportional to 5,638.37, 7,781.76 and 3,281.27

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Solution

The fourth proportional to 5,638.37, 7,781.76 and 3,281.27 is: 4,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.37 : 7,781.76 = 3,281.27 : x
  2. Step 2: Convert to fraction form
    5,638.37/7,781.76 = 3,281.27/x
  3. Step 3: Cross multiply
    5,638.37x = 7,781.76 × 3,281.27
  4. Step 4: Simplify right side
    5,638.37x = 25,534,075.09
  5. Step 5: Solve for x
    x = 25,534,075.09/5,638.37
  6. Step 6: Final answer
    x = 4,528.63

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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.