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Finding the Fourth Proportional to 3,749.51, 5,624.24 and 1,250.90

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Solution

The fourth proportional to 3,749.51, 5,624.24 and 1,250.90 is: 1,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.51 : 5,624.24 = 1,250.90 : x
  2. Step 2: Convert to fraction form
    3,749.51/5,624.24 = 1,250.90/x
  3. Step 3: Cross multiply
    3,749.51x = 5,624.24 × 1,250.90
  4. Step 4: Simplify right side
    3,749.51x = 7,035,336.82
  5. Step 5: Solve for x
    x = 7,035,336.82/3,749.51
  6. Step 6: Final answer
    x = 1,876.33

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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.