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Finding the Fourth Proportional to 5,179.24, 7,768.54 and 2,101.16

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Solution

The fourth proportional to 5,179.24, 7,768.54 and 2,101.16 is: 3,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.24 : 7,768.54 = 2,101.16 : x
  2. Step 2: Convert to fraction form
    5,179.24/7,768.54 = 2,101.16/x
  3. Step 3: Cross multiply
    5,179.24x = 7,768.54 × 2,101.16
  4. Step 4: Simplify right side
    5,179.24x = 16,322,945.51
  5. Step 5: Solve for x
    x = 16,322,945.51/5,179.24
  6. Step 6: Final answer
    x = 3,151.61

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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.