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Finding the Fourth Proportional to 5,632.92, 7,767.36 and 3,953.76

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Solution

The fourth proportional to 5,632.92, 7,767.36 and 3,953.76 is: 5,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.92 : 7,767.36 = 3,953.76 : x
  2. Step 2: Convert to fraction form
    5,632.92/7,767.36 = 3,953.76/x
  3. Step 3: Cross multiply
    5,632.92x = 7,767.36 × 3,953.76
  4. Step 4: Simplify right side
    5,632.92x = 30,710,277.27
  5. Step 5: Solve for x
    x = 30,710,277.27/5,632.92
  6. Step 6: Final answer
    x = 5,451.93

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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.