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Finding the Fourth Proportional to 4,328.22, 5,969.54 and 3,133.38

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Solution

The fourth proportional to 4,328.22, 5,969.54 and 3,133.38 is: 4,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.22 : 5,969.54 = 3,133.38 : x
  2. Step 2: Convert to fraction form
    4,328.22/5,969.54 = 3,133.38/x
  3. Step 3: Cross multiply
    4,328.22x = 5,969.54 × 3,133.38
  4. Step 4: Simplify right side
    4,328.22x = 18,704,816.26
  5. Step 5: Solve for x
    x = 18,704,816.26/4,328.22
  6. Step 6: Final answer
    x = 4,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.