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Finding the Fourth Proportional to 4,768.61, 7,133.46 and 3,845.21

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Solution

The fourth proportional to 4,768.61, 7,133.46 and 3,845.21 is: 5,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.61 : 7,133.46 = 3,845.21 : x
  2. Step 2: Convert to fraction form
    4,768.61/7,133.46 = 3,845.21/x
  3. Step 3: Cross multiply
    4,768.61x = 7,133.46 × 3,845.21
  4. Step 4: Simplify right side
    4,768.61x = 27,429,651.73
  5. Step 5: Solve for x
    x = 27,429,651.73/4,768.61
  6. Step 6: Final answer
    x = 5,752.13

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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.