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Finding the Fourth Proportional to 5,632.12, 8,448.12 and 2,166.94

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Solution

The fourth proportional to 5,632.12, 8,448.12 and 2,166.94 is: 3,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.12 : 8,448.12 = 2,166.94 : x
  2. Step 2: Convert to fraction form
    5,632.12/8,448.12 = 2,166.94/x
  3. Step 3: Cross multiply
    5,632.12x = 8,448.12 × 2,166.94
  4. Step 4: Simplify right side
    5,632.12x = 18,306,569.15
  5. Step 5: Solve for x
    x = 18,306,569.15/5,632.12
  6. Step 6: Final answer
    x = 3,250.39

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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.