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Finding the Fourth Proportional to 5,741.77, 7,923.54 and 3,383.86

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Solution

The fourth proportional to 5,741.77, 7,923.54 and 3,383.86 is: 4,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.77 : 7,923.54 = 3,383.86 : x
  2. Step 2: Convert to fraction form
    5,741.77/7,923.54 = 3,383.86/x
  3. Step 3: Cross multiply
    5,741.77x = 7,923.54 × 3,383.86
  4. Step 4: Simplify right side
    5,741.77x = 26,812,150.06
  5. Step 5: Solve for x
    x = 26,812,150.06/5,741.77
  6. Step 6: Final answer
    x = 4,669.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.