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Finding the Fourth Proportional to 4,527.56, 6,792.23 and 2,189.18

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Solution

The fourth proportional to 4,527.56, 6,792.23 and 2,189.18 is: 3,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.56 : 6,792.23 = 2,189.18 : x
  2. Step 2: Convert to fraction form
    4,527.56/6,792.23 = 2,189.18/x
  3. Step 3: Cross multiply
    4,527.56x = 6,792.23 × 2,189.18
  4. Step 4: Simplify right side
    4,527.56x = 14,869,414.07
  5. Step 5: Solve for x
    x = 14,869,414.07/4,527.56
  6. Step 6: Final answer
    x = 3,284.20

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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.