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Finding the Fourth Proportional to 3,172.45, 4,755.30 and 1,527.94

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Solution

The fourth proportional to 3,172.45, 4,755.30 and 1,527.94 is: 2,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.45 : 4,755.30 = 1,527.94 : x
  2. Step 2: Convert to fraction form
    3,172.45/4,755.30 = 1,527.94/x
  3. Step 3: Cross multiply
    3,172.45x = 4,755.30 × 1,527.94
  4. Step 4: Simplify right side
    3,172.45x = 7,265,813.08
  5. Step 5: Solve for x
    x = 7,265,813.08/3,172.45
  6. Step 6: Final answer
    x = 2,290.28

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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.