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Finding the Fourth Proportional to 4,224.85, 5,829.37 and 2,653.65

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Solution

The fourth proportional to 4,224.85, 5,829.37 and 2,653.65 is: 3,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.85 : 5,829.37 = 2,653.65 : x
  2. Step 2: Convert to fraction form
    4,224.85/5,829.37 = 2,653.65/x
  3. Step 3: Cross multiply
    4,224.85x = 5,829.37 × 2,653.65
  4. Step 4: Simplify right side
    4,224.85x = 15,469,094.43
  5. Step 5: Solve for x
    x = 15,469,094.43/4,224.85
  6. Step 6: Final answer
    x = 3,661.45

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