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Finding the Fourth Proportional to 6,142.52, 8,474.26 and 3,780.56

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Solution

The fourth proportional to 6,142.52, 8,474.26 and 3,780.56 is: 5,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.52 : 8,474.26 = 3,780.56 : x
  2. Step 2: Convert to fraction form
    6,142.52/8,474.26 = 3,780.56/x
  3. Step 3: Cross multiply
    6,142.52x = 8,474.26 × 3,780.56
  4. Step 4: Simplify right side
    6,142.52x = 32,037,448.39
  5. Step 5: Solve for x
    x = 32,037,448.39/6,142.52
  6. Step 6: Final answer
    x = 5,215.68

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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.