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Finding the Fourth Proportional to 4,792.30, 7,185.92 and 4,238.36

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Solution

The fourth proportional to 4,792.30, 7,185.92 and 4,238.36 is: 6,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.30 : 7,185.92 = 4,238.36 : x
  2. Step 2: Convert to fraction form
    4,792.30/7,185.92 = 4,238.36/x
  3. Step 3: Cross multiply
    4,792.30x = 7,185.92 × 4,238.36
  4. Step 4: Simplify right side
    4,792.30x = 30,456,515.89
  5. Step 5: Solve for x
    x = 30,456,515.89/4,792.30
  6. Step 6: Final answer
    x = 6,355.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.