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Finding the Fourth Proportional to 4,762.28, 7,143.42 and 1,299.62

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Solution

The fourth proportional to 4,762.28, 7,143.42 and 1,299.62 is: 1,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.28 : 7,143.42 = 1,299.62 : x
  2. Step 2: Convert to fraction form
    4,762.28/7,143.42 = 1,299.62/x
  3. Step 3: Cross multiply
    4,762.28x = 7,143.42 × 1,299.62
  4. Step 4: Simplify right side
    4,762.28x = 9,283,731.50
  5. Step 5: Solve for x
    x = 9,283,731.50/4,762.28
  6. Step 6: Final answer
    x = 1,949.43

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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.