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Finding the Fourth Proportional to 5,611.95, 7,742.99 and 3,623.67

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Solution

The fourth proportional to 5,611.95, 7,742.99 and 3,623.67 is: 4,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.95 : 7,742.99 = 3,623.67 : x
  2. Step 2: Convert to fraction form
    5,611.95/7,742.99 = 3,623.67/x
  3. Step 3: Cross multiply
    5,611.95x = 7,742.99 × 3,623.67
  4. Step 4: Simplify right side
    5,611.95x = 28,058,049.63
  5. Step 5: Solve for x
    x = 28,058,049.63/5,611.95
  6. Step 6: Final answer
    x = 4,999.70

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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.