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Finding the Fourth Proportional to 5,541.91, 7,649.34 and 3,748.57

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Solution

The fourth proportional to 5,541.91, 7,649.34 and 3,748.57 is: 5,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.91 : 7,649.34 = 3,748.57 : x
  2. Step 2: Convert to fraction form
    5,541.91/7,649.34 = 3,748.57/x
  3. Step 3: Cross multiply
    5,541.91x = 7,649.34 × 3,748.57
  4. Step 4: Simplify right side
    5,541.91x = 28,674,086.44
  5. Step 5: Solve for x
    x = 28,674,086.44/5,541.91
  6. Step 6: Final answer
    x = 5,174.04

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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.