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Finding the Fourth Proportional to 5,638.90, 7,781.64 and 3,154.90

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Solution

The fourth proportional to 5,638.90, 7,781.64 and 3,154.90 is: 4,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.90 : 7,781.64 = 3,154.90 : x
  2. Step 2: Convert to fraction form
    5,638.90/7,781.64 = 3,154.90/x
  3. Step 3: Cross multiply
    5,638.90x = 7,781.64 × 3,154.90
  4. Step 4: Simplify right side
    5,638.90x = 24,550,296.04
  5. Step 5: Solve for x
    x = 24,550,296.04/5,638.90
  6. Step 6: Final answer
    x = 4,353.74

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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.