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Finding the Fourth Proportional to 5,632.14, 7,768.32 and 3,953.92

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Solution

The fourth proportional to 5,632.14, 7,768.32 and 3,953.92 is: 5,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.14 : 7,768.32 = 3,953.92 : x
  2. Step 2: Convert to fraction form
    5,632.14/7,768.32 = 3,953.92/x
  3. Step 3: Cross multiply
    5,632.14x = 7,768.32 × 3,953.92
  4. Step 4: Simplify right side
    5,632.14x = 30,715,315.81
  5. Step 5: Solve for x
    x = 30,715,315.81/5,632.14
  6. Step 6: Final answer
    x = 5,453.58

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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.