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Finding the Fourth Proportional to 5,482.94, 7,566.41 and 2,965.05

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Solution

The fourth proportional to 5,482.94, 7,566.41 and 2,965.05 is: 4,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.94 : 7,566.41 = 2,965.05 : x
  2. Step 2: Convert to fraction form
    5,482.94/7,566.41 = 2,965.05/x
  3. Step 3: Cross multiply
    5,482.94x = 7,566.41 × 2,965.05
  4. Step 4: Simplify right side
    5,482.94x = 22,434,791.38
  5. Step 5: Solve for x
    x = 22,434,791.38/5,482.94
  6. Step 6: Final answer
    x = 4,091.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.