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Finding the Fourth Proportional to 3,632.63, 5,450.91 and 2,812.50

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Solution

The fourth proportional to 3,632.63, 5,450.91 and 2,812.50 is: 4,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.63 : 5,450.91 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    3,632.63/5,450.91 = 2,812.50/x
  3. Step 3: Cross multiply
    3,632.63x = 5,450.91 × 2,812.50
  4. Step 4: Simplify right side
    3,632.63x = 15,330,673.83
  5. Step 5: Solve for x
    x = 15,330,673.83/3,632.63
  6. Step 6: Final answer
    x = 4,220.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.