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Finding the Fourth Proportional to 5,147.57, 7,722.63 and 2,376.17

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Solution

The fourth proportional to 5,147.57, 7,722.63 and 2,376.17 is: 3,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.57 : 7,722.63 = 2,376.17 : x
  2. Step 2: Convert to fraction form
    5,147.57/7,722.63 = 2,376.17/x
  3. Step 3: Cross multiply
    5,147.57x = 7,722.63 × 2,376.17
  4. Step 4: Simplify right side
    5,147.57x = 18,350,243.11
  5. Step 5: Solve for x
    x = 18,350,243.11/5,147.57
  6. Step 6: Final answer
    x = 3,564.84

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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.