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Finding the Fourth Proportional to 4,224.33, 5,829.66 and 2,652.42

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Solution

The fourth proportional to 4,224.33, 5,829.66 and 2,652.42 is: 3,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.33 : 5,829.66 = 2,652.42 : x
  2. Step 2: Convert to fraction form
    4,224.33/5,829.66 = 2,652.42/x
  3. Step 3: Cross multiply
    4,224.33x = 5,829.66 × 2,652.42
  4. Step 4: Simplify right side
    4,224.33x = 15,462,706.78
  5. Step 5: Solve for x
    x = 15,462,706.78/4,224.33
  6. Step 6: Final answer
    x = 3,660.39

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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.