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Finding the Fourth Proportional to 3,750.70, 5,626.98 and 1,153.56

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Solution

The fourth proportional to 3,750.70, 5,626.98 and 1,153.56 is: 1,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.70 : 5,626.98 = 1,153.56 : x
  2. Step 2: Convert to fraction form
    3,750.70/5,626.98 = 1,153.56/x
  3. Step 3: Cross multiply
    3,750.70x = 5,626.98 × 1,153.56
  4. Step 4: Simplify right side
    3,750.70x = 6,491,059.05
  5. Step 5: Solve for x
    x = 6,491,059.05/3,750.70
  6. Step 6: Final answer
    x = 1,730.63

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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.