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Finding the Fourth Proportional to 5,638.50, 7,781.16 and 3,154.50

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Solution

The fourth proportional to 5,638.50, 7,781.16 and 3,154.50 is: 4,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.50 : 7,781.16 = 3,154.50 : x
  2. Step 2: Convert to fraction form
    5,638.50/7,781.16 = 3,154.50/x
  3. Step 3: Cross multiply
    5,638.50x = 7,781.16 × 3,154.50
  4. Step 4: Simplify right side
    5,638.50x = 24,545,669.22
  5. Step 5: Solve for x
    x = 24,545,669.22/5,638.50
  6. Step 6: Final answer
    x = 4,353.23

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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.