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Finding the Fourth Proportional to 4,329.29, 5,971.36 and 4,184.62

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Solution

The fourth proportional to 4,329.29, 5,971.36 and 4,184.62 is: 5,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.29 : 5,971.36 = 4,184.62 : x
  2. Step 2: Convert to fraction form
    4,329.29/5,971.36 = 4,184.62/x
  3. Step 3: Cross multiply
    4,329.29x = 5,971.36 × 4,184.62
  4. Step 4: Simplify right side
    4,329.29x = 24,987,872.48
  5. Step 5: Solve for x
    x = 24,987,872.48/4,329.29
  6. Step 6: Final answer
    x = 5,771.82

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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.