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Finding the Fourth Proportional to 3,224.51, 4,420.85 and 3,166.19

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Solution

The fourth proportional to 3,224.51, 4,420.85 and 3,166.19 is: 4,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.51 : 4,420.85 = 3,166.19 : x
  2. Step 2: Convert to fraction form
    3,224.51/4,420.85 = 3,166.19/x
  3. Step 3: Cross multiply
    3,224.51x = 4,420.85 × 3,166.19
  4. Step 4: Simplify right side
    3,224.51x = 13,997,246.28
  5. Step 5: Solve for x
    x = 13,997,246.28/3,224.51
  6. Step 6: Final answer
    x = 4,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.