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Finding the Fourth Proportional to 3,287.68, 4,926.62 and 3,206.17

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Solution

The fourth proportional to 3,287.68, 4,926.62 and 3,206.17 is: 4,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.68 : 4,926.62 = 3,206.17 : x
  2. Step 2: Convert to fraction form
    3,287.68/4,926.62 = 3,206.17/x
  3. Step 3: Cross multiply
    3,287.68x = 4,926.62 × 3,206.17
  4. Step 4: Simplify right side
    3,287.68x = 15,795,595.42
  5. Step 5: Solve for x
    x = 15,795,595.42/3,287.68
  6. Step 6: Final answer
    x = 4,804.48

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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.