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Finding the Fourth Proportional to 4,792.33, 6,597.79 and 3,782.23

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Solution

The fourth proportional to 4,792.33, 6,597.79 and 3,782.23 is: 5,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.33 : 6,597.79 = 3,782.23 : x
  2. Step 2: Convert to fraction form
    4,792.33/6,597.79 = 3,782.23/x
  3. Step 3: Cross multiply
    4,792.33x = 6,597.79 × 3,782.23
  4. Step 4: Simplify right side
    4,792.33x = 24,954,333.32
  5. Step 5: Solve for x
    x = 24,954,333.32/4,792.33
  6. Step 6: Final answer
    x = 5,207.14

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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.