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Finding the Fourth Proportional to 3,749.92, 5,625.50 and 1,284.70

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Solution

The fourth proportional to 3,749.92, 5,625.50 and 1,284.70 is: 1,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.92 : 5,625.50 = 1,284.70 : x
  2. Step 2: Convert to fraction form
    3,749.92/5,625.50 = 1,284.70/x
  3. Step 3: Cross multiply
    3,749.92x = 5,625.50 × 1,284.70
  4. Step 4: Simplify right side
    3,749.92x = 7,227,079.85
  5. Step 5: Solve for x
    x = 7,227,079.85/3,749.92
  6. Step 6: Final answer
    x = 1,927.26

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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.