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Finding the Fourth Proportional to 5,923.69, 8,884.67 and 1,763.53

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Solution

The fourth proportional to 5,923.69, 8,884.67 and 1,763.53 is: 2,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.69 : 8,884.67 = 1,763.53 : x
  2. Step 2: Convert to fraction form
    5,923.69/8,884.67 = 1,763.53/x
  3. Step 3: Cross multiply
    5,923.69x = 8,884.67 × 1,763.53
  4. Step 4: Simplify right side
    5,923.69x = 15,668,382.09
  5. Step 5: Solve for x
    x = 15,668,382.09/5,923.69
  6. Step 6: Final answer
    x = 2,645.04

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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.