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Finding the Fourth Proportional to 4,762.14, 7,143.40 and 1,299.38

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Solution

The fourth proportional to 4,762.14, 7,143.40 and 1,299.38 is: 1,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.14 : 7,143.40 = 1,299.38 : x
  2. Step 2: Convert to fraction form
    4,762.14/7,143.40 = 1,299.38/x
  3. Step 3: Cross multiply
    4,762.14x = 7,143.40 × 1,299.38
  4. Step 4: Simplify right side
    4,762.14x = 9,281,991.09
  5. Step 5: Solve for x
    x = 9,281,991.09/4,762.14
  6. Step 6: Final answer
    x = 1,949.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.