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Finding the Fourth Proportional to 3,796.84, 5,666.25 and 3,381.65

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Solution

The fourth proportional to 3,796.84, 5,666.25 and 3,381.65 is: 5,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.84 : 5,666.25 = 3,381.65 : x
  2. Step 2: Convert to fraction form
    3,796.84/5,666.25 = 3,381.65/x
  3. Step 3: Cross multiply
    3,796.84x = 5,666.25 × 3,381.65
  4. Step 4: Simplify right side
    3,796.84x = 19,161,274.56
  5. Step 5: Solve for x
    x = 19,161,274.56/3,796.84
  6. Step 6: Final answer
    x = 5,046.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.