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Finding the Fourth Proportional to 5,923.96, 8,884.39 and 1,762.86

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Solution

The fourth proportional to 5,923.96, 8,884.39 and 1,762.86 is: 2,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.96 : 8,884.39 = 1,762.86 : x
  2. Step 2: Convert to fraction form
    5,923.96/8,884.39 = 1,762.86/x
  3. Step 3: Cross multiply
    5,923.96x = 8,884.39 × 1,762.86
  4. Step 4: Simplify right side
    5,923.96x = 15,661,935.76
  5. Step 5: Solve for x
    x = 15,661,935.76/5,923.96
  6. Step 6: Final answer
    x = 2,643.83

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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.