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Finding the Fourth Proportional to 3,880.72, 5,358.07 and 3,632.86

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Solution

The fourth proportional to 3,880.72, 5,358.07 and 3,632.86 is: 5,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.72 : 5,358.07 = 3,632.86 : x
  2. Step 2: Convert to fraction form
    3,880.72/5,358.07 = 3,632.86/x
  3. Step 3: Cross multiply
    3,880.72x = 5,358.07 × 3,632.86
  4. Step 4: Simplify right side
    3,880.72x = 19,465,118.18
  5. Step 5: Solve for x
    x = 19,465,118.18/3,880.72
  6. Step 6: Final answer
    x = 5,015.85

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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.