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Finding the Fourth Proportional to 4,174.16, 5,747.22 and 3,543.44

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Solution

The fourth proportional to 4,174.16, 5,747.22 and 3,543.44 is: 4,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.16 : 5,747.22 = 3,543.44 : x
  2. Step 2: Convert to fraction form
    4,174.16/5,747.22 = 3,543.44/x
  3. Step 3: Cross multiply
    4,174.16x = 5,747.22 × 3,543.44
  4. Step 4: Simplify right side
    4,174.16x = 20,364,900.50
  5. Step 5: Solve for x
    x = 20,364,900.50/4,174.16
  6. Step 6: Final answer
    x = 4,878.81

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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.