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Finding the Fourth Proportional to 4,666.28, 6,993.66 and 2,066.28

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Solution

The fourth proportional to 4,666.28, 6,993.66 and 2,066.28 is: 3,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.28 : 6,993.66 = 2,066.28 : x
  2. Step 2: Convert to fraction form
    4,666.28/6,993.66 = 2,066.28/x
  3. Step 3: Cross multiply
    4,666.28x = 6,993.66 × 2,066.28
  4. Step 4: Simplify right side
    4,666.28x = 14,450,859.78
  5. Step 5: Solve for x
    x = 14,450,859.78/4,666.28
  6. Step 6: Final answer
    x = 3,096.87

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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.