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Finding the Fourth Proportional to 3,851.37, 5,774.90 and 1,658.97

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Solution

The fourth proportional to 3,851.37, 5,774.90 and 1,658.97 is: 2,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.37 : 5,774.90 = 1,658.97 : x
  2. Step 2: Convert to fraction form
    3,851.37/5,774.90 = 1,658.97/x
  3. Step 3: Cross multiply
    3,851.37x = 5,774.90 × 1,658.97
  4. Step 4: Simplify right side
    3,851.37x = 9,580,377.56
  5. Step 5: Solve for x
    x = 9,580,377.56/3,851.37
  6. Step 6: Final answer
    x = 2,487.52

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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.