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Finding the Fourth Proportional to 3,566.68, 5,325.66 and 3,194.08

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Solution

The fourth proportional to 3,566.68, 5,325.66 and 3,194.08 is: 4,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.68 : 5,325.66 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    3,566.68/5,325.66 = 3,194.08/x
  3. Step 3: Cross multiply
    3,566.68x = 5,325.66 × 3,194.08
  4. Step 4: Simplify right side
    3,566.68x = 17,010,584.09
  5. Step 5: Solve for x
    x = 17,010,584.09/3,566.68
  6. Step 6: Final answer
    x = 4,769.30

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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.