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Finding the Fourth Proportional to 5,611.47, 7,738.23 and 3,623.05

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Solution

The fourth proportional to 5,611.47, 7,738.23 and 3,623.05 is: 4,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.47 : 7,738.23 = 3,623.05 : x
  2. Step 2: Convert to fraction form
    5,611.47/7,738.23 = 3,623.05/x
  3. Step 3: Cross multiply
    5,611.47x = 7,738.23 × 3,623.05
  4. Step 4: Simplify right side
    5,611.47x = 28,035,994.20
  5. Step 5: Solve for x
    x = 28,035,994.20/5,611.47
  6. Step 6: Final answer
    x = 4,996.19

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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.