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Finding the Fourth Proportional to 3,846.72, 5,768.65 and 1,380.94

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Solution

The fourth proportional to 3,846.72, 5,768.65 and 1,380.94 is: 2,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.72 : 5,768.65 = 1,380.94 : x
  2. Step 2: Convert to fraction form
    3,846.72/5,768.65 = 1,380.94/x
  3. Step 3: Cross multiply
    3,846.72x = 5,768.65 × 1,380.94
  4. Step 4: Simplify right side
    3,846.72x = 7,966,159.53
  5. Step 5: Solve for x
    x = 7,966,159.53/3,846.72
  6. Step 6: Final answer
    x = 2,070.90

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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.