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Finding the Fourth Proportional to 4,792.26, 7,188.72 and 1,282.26

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Solution

The fourth proportional to 4,792.26, 7,188.72 and 1,282.26 is: 1,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.26 : 7,188.72 = 1,282.26 : x
  2. Step 2: Convert to fraction form
    4,792.26/7,188.72 = 1,282.26/x
  3. Step 3: Cross multiply
    4,792.26x = 7,188.72 × 1,282.26
  4. Step 4: Simplify right side
    4,792.26x = 9,217,808.11
  5. Step 5: Solve for x
    x = 9,217,808.11/4,792.26
  6. Step 6: Final answer
    x = 1,923.48

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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.