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Finding the Fourth Proportional to 5,944, 8,914.23 and 1,783.63

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Solution

The fourth proportional to 5,944, 8,914.23 and 1,783.63 is: 2,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944 : 8,914.23 = 1,783.63 : x
  2. Step 2: Convert to fraction form
    5,944/8,914.23 = 1,783.63/x
  3. Step 3: Cross multiply
    5,944x = 8,914.23 × 1,783.63
  4. Step 4: Simplify right side
    5,944x = 15,899,688.05
  5. Step 5: Solve for x
    x = 15,899,688.05/5,944
  6. Step 6: Final answer
    x = 2,674.91

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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.