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Finding the Fourth Proportional to 3,750.96, 5,624.28 and 1,153.20

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Solution

The fourth proportional to 3,750.96, 5,624.28 and 1,153.20 is: 1,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.96 : 5,624.28 = 1,153.20 : x
  2. Step 2: Convert to fraction form
    3,750.96/5,624.28 = 1,153.20/x
  3. Step 3: Cross multiply
    3,750.96x = 5,624.28 × 1,153.20
  4. Step 4: Simplify right side
    3,750.96x = 6,485,919.70
  5. Step 5: Solve for x
    x = 6,485,919.70/3,750.96
  6. Step 6: Final answer
    x = 1,729.14

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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.