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Finding the Fourth Proportional to 4,199.82, 6,287.42 and 3,316.14

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Solution

The fourth proportional to 4,199.82, 6,287.42 and 3,316.14 is: 4,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.82 : 6,287.42 = 3,316.14 : x
  2. Step 2: Convert to fraction form
    4,199.82/6,287.42 = 3,316.14/x
  3. Step 3: Cross multiply
    4,199.82x = 6,287.42 × 3,316.14
  4. Step 4: Simplify right side
    4,199.82x = 20,849,973.25
  5. Step 5: Solve for x
    x = 20,849,973.25/4,199.82
  6. Step 6: Final answer
    x = 4,964.50

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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.