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Finding the Fourth Proportional to 5,637.86, 7,771.98 and 3,954.18

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Solution

The fourth proportional to 5,637.86, 7,771.98 and 3,954.18 is: 5,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.86 : 7,771.98 = 3,954.18 : x
  2. Step 2: Convert to fraction form
    5,637.86/7,771.98 = 3,954.18/x
  3. Step 3: Cross multiply
    5,637.86x = 7,771.98 × 3,954.18
  4. Step 4: Simplify right side
    5,637.86x = 30,731,807.88
  5. Step 5: Solve for x
    x = 30,731,807.88/5,637.86
  6. Step 6: Final answer
    x = 5,450.97

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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.