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Finding the Fourth Proportional to 5,972.34, 8,953.83 and 3,776.46

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Solution

The fourth proportional to 5,972.34, 8,953.83 and 3,776.46 is: 5,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.34 : 8,953.83 = 3,776.46 : x
  2. Step 2: Convert to fraction form
    5,972.34/8,953.83 = 3,776.46/x
  3. Step 3: Cross multiply
    5,972.34x = 8,953.83 × 3,776.46
  4. Step 4: Simplify right side
    5,972.34x = 33,813,780.84
  5. Step 5: Solve for x
    x = 33,813,780.84/5,972.34
  6. Step 6: Final answer
    x = 5,661.73

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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.