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Finding the Fourth Proportional to 5,742.72, 8,614.22 and 5,373.63

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Solution

The fourth proportional to 5,742.72, 8,614.22 and 5,373.63 is: 8,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 8,614.22 = 5,373.63 : x
  2. Step 2: Convert to fraction form
    5,742.72/8,614.22 = 5,373.63/x
  3. Step 3: Cross multiply
    5,742.72x = 8,614.22 × 5,373.63
  4. Step 4: Simplify right side
    5,742.72x = 46,289,604.15
  5. Step 5: Solve for x
    x = 46,289,604.15/5,742.72
  6. Step 6: Final answer
    x = 8,060.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.