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Finding the Fourth Proportional to 5,832.64, 8,749.42 and 1,829.75

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Solution

The fourth proportional to 5,832.64, 8,749.42 and 1,829.75 is: 2,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.64 : 8,749.42 = 1,829.75 : x
  2. Step 2: Convert to fraction form
    5,832.64/8,749.42 = 1,829.75/x
  3. Step 3: Cross multiply
    5,832.64x = 8,749.42 × 1,829.75
  4. Step 4: Simplify right side
    5,832.64x = 16,009,251.25
  5. Step 5: Solve for x
    x = 16,009,251.25/5,832.64
  6. Step 6: Final answer
    x = 2,744.77

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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.