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Finding the Fourth Proportional to 3,768.80, 5,652.49 and 1,576.94

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Solution

The fourth proportional to 3,768.80, 5,652.49 and 1,576.94 is: 2,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.80 : 5,652.49 = 1,576.94 : x
  2. Step 2: Convert to fraction form
    3,768.80/5,652.49 = 1,576.94/x
  3. Step 3: Cross multiply
    3,768.80x = 5,652.49 × 1,576.94
  4. Step 4: Simplify right side
    3,768.80x = 8,913,637.58
  5. Step 5: Solve for x
    x = 8,913,637.58/3,768.80
  6. Step 6: Final answer
    x = 2,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.