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Finding the Fourth Proportional to 4,763.48, 7,144.40 and 1,299.92

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Solution

The fourth proportional to 4,763.48, 7,144.40 and 1,299.92 is: 1,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.48 : 7,144.40 = 1,299.92 : x
  2. Step 2: Convert to fraction form
    4,763.48/7,144.40 = 1,299.92/x
  3. Step 3: Cross multiply
    4,763.48x = 7,144.40 × 1,299.92
  4. Step 4: Simplify right side
    4,763.48x = 9,287,115.98
  5. Step 5: Solve for x
    x = 9,287,115.98/4,763.48
  6. Step 6: Final answer
    x = 1,949.65

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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.